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Finding the Fourth Proportional to 7,445, 11,167.34 and 6,282.44

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Solution

The fourth proportional to 7,445, 11,167.34 and 6,282.44 is: 9,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445 : 11,167.34 = 6,282.44 : x
  2. Step 2: Convert to fraction form
    7,445/11,167.34 = 6,282.44/x
  3. Step 3: Cross multiply
    7,445x = 11,167.34 × 6,282.44
  4. Step 4: Simplify right side
    7,445x = 70,158,143.51
  5. Step 5: Solve for x
    x = 70,158,143.51/7,445
  6. Step 6: Final answer
    x = 9,423.52

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.