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Finding the Fourth Proportional to 12,565.62, 18,848.40 and 5,164.86

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Solution

The fourth proportional to 12,565.62, 18,848.40 and 5,164.86 is: 7,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.62 : 18,848.40 = 5,164.86 : x
  2. Step 2: Convert to fraction form
    12,565.62/18,848.40 = 5,164.86/x
  3. Step 3: Cross multiply
    12,565.62x = 18,848.40 × 5,164.86
  4. Step 4: Simplify right side
    12,565.62x = 97,349,347.22
  5. Step 5: Solve for x
    x = 97,349,347.22/12,565.62
  6. Step 6: Final answer
    x = 7,747.28

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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.