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Finding the Fourth Proportional to 6,988.78, 10,490.04 and 5,134.68

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Solution

The fourth proportional to 6,988.78, 10,490.04 and 5,134.68 is: 7,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.78 : 10,490.04 = 5,134.68 : x
  2. Step 2: Convert to fraction form
    6,988.78/10,490.04 = 5,134.68/x
  3. Step 3: Cross multiply
    6,988.78x = 10,490.04 × 5,134.68
  4. Step 4: Simplify right side
    6,988.78x = 53,862,998.59
  5. Step 5: Solve for x
    x = 53,862,998.59/6,988.78
  6. Step 6: Final answer
    x = 7,707.07

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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.