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Finding the Fourth Proportional to 5,129.60, 7,695.04 and 1,666.08

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Solution

The fourth proportional to 5,129.60, 7,695.04 and 1,666.08 is: 2,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.60 : 7,695.04 = 1,666.08 : x
  2. Step 2: Convert to fraction form
    5,129.60/7,695.04 = 1,666.08/x
  3. Step 3: Cross multiply
    5,129.60x = 7,695.04 × 1,666.08
  4. Step 4: Simplify right side
    5,129.60x = 12,820,552.24
  5. Step 5: Solve for x
    x = 12,820,552.24/5,129.60
  6. Step 6: Final answer
    x = 2,499.33

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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.