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Finding the Fourth Proportional to 7,428, 11,140.68 and 3,267.24

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Solution

The fourth proportional to 7,428, 11,140.68 and 3,267.24 is: 4,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428 : 11,140.68 = 3,267.24 : x
  2. Step 2: Convert to fraction form
    7,428/11,140.68 = 3,267.24/x
  3. Step 3: Cross multiply
    7,428x = 11,140.68 × 3,267.24
  4. Step 4: Simplify right side
    7,428x = 36,399,275.32
  5. Step 5: Solve for x
    x = 36,399,275.32/7,428
  6. Step 6: Final answer
    x = 4,900.28

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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.