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Finding the Fourth Proportional to 10,478.40, 14,460.40 and 6,229.92

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Solution

The fourth proportional to 10,478.40, 14,460.40 and 6,229.92 is: 8,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.40 : 14,460.40 = 6,229.92 : x
  2. Step 2: Convert to fraction form
    10,478.40/14,460.40 = 6,229.92/x
  3. Step 3: Cross multiply
    10,478.40x = 14,460.40 × 6,229.92
  4. Step 4: Simplify right side
    10,478.40x = 90,087,135.17
  5. Step 5: Solve for x
    x = 90,087,135.17/10,478.40
  6. Step 6: Final answer
    x = 8,597.41

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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.