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Finding the Fourth Proportional to 10,480.50, 15,700.94 and 6,193.43

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Solution

The fourth proportional to 10,480.50, 15,700.94 and 6,193.43 is: 9,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.50 : 15,700.94 = 6,193.43 : x
  2. Step 2: Convert to fraction form
    10,480.50/15,700.94 = 6,193.43/x
  3. Step 3: Cross multiply
    10,480.50x = 15,700.94 × 6,193.43
  4. Step 4: Simplify right side
    10,480.50x = 97,242,641.86
  5. Step 5: Solve for x
    x = 97,242,641.86/10,480.50
  6. Step 6: Final answer
    x = 9,278.44

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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.