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Finding the Fourth Proportional to 10,387.68, 14,353.74 and 7,398.33

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Solution

The fourth proportional to 10,387.68, 14,353.74 and 7,398.33 is: 10,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.68 : 14,353.74 = 7,398.33 : x
  2. Step 2: Convert to fraction form
    10,387.68/14,353.74 = 7,398.33/x
  3. Step 3: Cross multiply
    10,387.68x = 14,353.74 × 7,398.33
  4. Step 4: Simplify right side
    10,387.68x = 106,193,705.25
  5. Step 5: Solve for x
    x = 106,193,705.25/10,387.68
  6. Step 6: Final answer
    x = 10,223.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.