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Finding the Fourth Proportional to 9,781.86, 13,504.19 and 7,652.86

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Solution

The fourth proportional to 9,781.86, 13,504.19 and 7,652.86 is: 10,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.86 : 13,504.19 = 7,652.86 : x
  2. Step 2: Convert to fraction form
    9,781.86/13,504.19 = 7,652.86/x
  3. Step 3: Cross multiply
    9,781.86x = 13,504.19 × 7,652.86
  4. Step 4: Simplify right side
    9,781.86x = 103,345,675.48
  5. Step 5: Solve for x
    x = 103,345,675.48/9,781.86
  6. Step 6: Final answer
    x = 10,565.04

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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.