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Finding the Fourth Proportional to 8,645.76, 12,886.39 and 8,153.64

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Solution

The fourth proportional to 8,645.76, 12,886.39 and 8,153.64 is: 12,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.76 : 12,886.39 = 8,153.64 : x
  2. Step 2: Convert to fraction form
    8,645.76/12,886.39 = 8,153.64/x
  3. Step 3: Cross multiply
    8,645.76x = 12,886.39 × 8,153.64
  4. Step 4: Simplify right side
    8,645.76x = 105,070,984.96
  5. Step 5: Solve for x
    x = 105,070,984.96/8,645.76
  6. Step 6: Final answer
    x = 12,152.89

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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.