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Finding the Fourth Proportional to 10,471.78, 15,712.03 and 4,236.20

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Solution

The fourth proportional to 10,471.78, 15,712.03 and 4,236.20 is: 6,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.78 : 15,712.03 = 4,236.20 : x
  2. Step 2: Convert to fraction form
    10,471.78/15,712.03 = 4,236.20/x
  3. Step 3: Cross multiply
    10,471.78x = 15,712.03 × 4,236.20
  4. Step 4: Simplify right side
    10,471.78x = 66,559,263.31
  5. Step 5: Solve for x
    x = 66,559,263.31/10,471.78
  6. Step 6: Final answer
    x = 6,356.06

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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.