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Finding the Fourth Proportional to 9,099.76, 13,651.80 and 4,719.28

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Solution

The fourth proportional to 9,099.76, 13,651.80 and 4,719.28 is: 7,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.76 : 13,651.80 = 4,719.28 : x
  2. Step 2: Convert to fraction form
    9,099.76/13,651.80 = 4,719.28/x
  3. Step 3: Cross multiply
    9,099.76x = 13,651.80 × 4,719.28
  4. Step 4: Simplify right side
    9,099.76x = 64,426,666.70
  5. Step 5: Solve for x
    x = 64,426,666.70/9,099.76
  6. Step 6: Final answer
    x = 7,080.04

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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.