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Finding the Fourth Proportional to 13,312.24, 19,932.64 and 7,452.16

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Solution

The fourth proportional to 13,312.24, 19,932.64 and 7,452.16 is: 11,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.24 : 19,932.64 = 7,452.16 : x
  2. Step 2: Convert to fraction form
    13,312.24/19,932.64 = 7,452.16/x
  3. Step 3: Cross multiply
    13,312.24x = 19,932.64 × 7,452.16
  4. Step 4: Simplify right side
    13,312.24x = 148,541,222.50
  5. Step 5: Solve for x
    x = 148,541,222.50/13,312.24
  6. Step 6: Final answer
    x = 11,158.24

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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.