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Finding the Fourth Proportional to 11,343.78, 15,652.98 and 7,154.46

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Solution

The fourth proportional to 11,343.78, 15,652.98 and 7,154.46 is: 9,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.78 : 15,652.98 = 7,154.46 : x
  2. Step 2: Convert to fraction form
    11,343.78/15,652.98 = 7,154.46/x
  3. Step 3: Cross multiply
    11,343.78x = 15,652.98 × 7,154.46
  4. Step 4: Simplify right side
    11,343.78x = 111,988,619.29
  5. Step 5: Solve for x
    x = 111,988,619.29/11,343.78
  6. Step 6: Final answer
    x = 9,872.25

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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.