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Finding the Fourth Proportional to 8,503.75, 12,693.20 and 7,877.51

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Solution

The fourth proportional to 8,503.75, 12,693.20 and 7,877.51 is: 11,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.75 : 12,693.20 = 7,877.51 : x
  2. Step 2: Convert to fraction form
    8,503.75/12,693.20 = 7,877.51/x
  3. Step 3: Cross multiply
    8,503.75x = 12,693.20 × 7,877.51
  4. Step 4: Simplify right side
    8,503.75x = 99,990,746.47
  5. Step 5: Solve for x
    x = 99,990,746.47/8,503.75
  6. Step 6: Final answer
    x = 11,758.44

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.