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Finding the Fourth Proportional to 8,807.40, 13,209.81 and 2,565.74

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Solution

The fourth proportional to 8,807.40, 13,209.81 and 2,565.74 is: 3,848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,807.40 : 13,209.81 = 2,565.74 : x
  2. Step 2: Convert to fraction form
    8,807.40/13,209.81 = 2,565.74/x
  3. Step 3: Cross multiply
    8,807.40x = 13,209.81 × 2,565.74
  4. Step 4: Simplify right side
    8,807.40x = 33,892,871.86
  5. Step 5: Solve for x
    x = 33,892,871.86/8,807.40
  6. Step 6: Final answer
    x = 3,848.23

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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.