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Finding the Fourth Proportional to 5,165.65, 7,748.99 and 1,654.77

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Solution

The fourth proportional to 5,165.65, 7,748.99 and 1,654.77 is: 2,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.65 : 7,748.99 = 1,654.77 : x
  2. Step 2: Convert to fraction form
    5,165.65/7,748.99 = 1,654.77/x
  3. Step 3: Cross multiply
    5,165.65x = 7,748.99 × 1,654.77
  4. Step 4: Simplify right side
    5,165.65x = 12,822,787.91
  5. Step 5: Solve for x
    x = 12,822,787.91/5,165.65
  6. Step 6: Final answer
    x = 2,482.32

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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.