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Finding the Fourth Proportional to 28,565.64, 42,848 and 7,789.14

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Solution

The fourth proportional to 28,565.64, 42,848 and 7,789.14 is: 11,683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,565.64 : 42,848 = 7,789.14 : x
  2. Step 2: Convert to fraction form
    28,565.64/42,848 = 7,789.14/x
  3. Step 3: Cross multiply
    28,565.64x = 42,848 × 7,789.14
  4. Step 4: Simplify right side
    28,565.64x = 333,749,070.72
  5. Step 5: Solve for x
    x = 333,749,070.72/28,565.64
  6. Step 6: Final answer
    x = 11,683.58

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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.