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Finding the Fourth Proportional to 12,565.78, 17,339.55 and 7,259.86

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Solution

The fourth proportional to 12,565.78, 17,339.55 and 7,259.86 is: 10,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.78 : 17,339.55 = 7,259.86 : x
  2. Step 2: Convert to fraction form
    12,565.78/17,339.55 = 7,259.86/x
  3. Step 3: Cross multiply
    12,565.78x = 17,339.55 × 7,259.86
  4. Step 4: Simplify right side
    12,565.78x = 125,882,705.46
  5. Step 5: Solve for x
    x = 125,882,705.46/12,565.78
  6. Step 6: Final answer
    x = 10,017.90

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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.