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Finding the Fourth Proportional to 15,770, 23,655 and 8,845.04

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Solution

The fourth proportional to 15,770, 23,655 and 8,845.04 is: 13,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770 : 23,655 = 8,845.04 : x
  2. Step 2: Convert to fraction form
    15,770/23,655 = 8,845.04/x
  3. Step 3: Cross multiply
    15,770x = 23,655 × 8,845.04
  4. Step 4: Simplify right side
    15,770x = 209,229,421.20
  5. Step 5: Solve for x
    x = 209,229,421.20/15,770
  6. Step 6: Final answer
    x = 13,267.56

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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.