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Finding the Fourth Proportional to 9,098.60, 13,656.56 and 4,719.20

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Solution

The fourth proportional to 9,098.60, 13,656.56 and 4,719.20 is: 7,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.60 : 13,656.56 = 4,719.20 : x
  2. Step 2: Convert to fraction form
    9,098.60/13,656.56 = 4,719.20/x
  3. Step 3: Cross multiply
    9,098.60x = 13,656.56 × 4,719.20
  4. Step 4: Simplify right side
    9,098.60x = 64,448,037.95
  5. Step 5: Solve for x
    x = 64,448,037.95/9,098.60
  6. Step 6: Final answer
    x = 7,083.29

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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.