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Finding the Fourth Proportional to 28,089, 42,165.90 and 14,267.16

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Solution

The fourth proportional to 28,089, 42,165.90 and 14,267.16 is: 21,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,089 : 42,165.90 = 14,267.16 : x
  2. Step 2: Convert to fraction form
    28,089/42,165.90 = 14,267.16/x
  3. Step 3: Cross multiply
    28,089x = 42,165.90 × 14,267.16
  4. Step 4: Simplify right side
    28,089x = 601,587,641.84
  5. Step 5: Solve for x
    x = 601,587,641.84/28,089
  6. Step 6: Final answer
    x = 21,417.20

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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.