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Finding the Fourth Proportional to 2,124.08, 2,930.42 and 1,565.88

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Solution

The fourth proportional to 2,124.08, 2,930.42 and 1,565.88 is: 2,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.08 : 2,930.42 = 1,565.88 : x
  2. Step 2: Convert to fraction form
    2,124.08/2,930.42 = 1,565.88/x
  3. Step 3: Cross multiply
    2,124.08x = 2,930.42 × 1,565.88
  4. Step 4: Simplify right side
    2,124.08x = 4,588,667.25
  5. Step 5: Solve for x
    x = 4,588,667.25/2,124.08
  6. Step 6: Final answer
    x = 2,160.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.