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Finding the Fourth Proportional to 9,100.78, 13,642.53 and 3,557.68

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Solution

The fourth proportional to 9,100.78, 13,642.53 and 3,557.68 is: 5,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.78 : 13,642.53 = 3,557.68 : x
  2. Step 2: Convert to fraction form
    9,100.78/13,642.53 = 3,557.68/x
  3. Step 3: Cross multiply
    9,100.78x = 13,642.53 × 3,557.68
  4. Step 4: Simplify right side
    9,100.78x = 48,535,756.13
  5. Step 5: Solve for x
    x = 48,535,756.13/9,100.78
  6. Step 6: Final answer
    x = 5,333.14

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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.