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Finding the Fourth Proportional to 21,400.80, 32,095.44 and 7,548

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Solution

The fourth proportional to 21,400.80, 32,095.44 and 7,548 is: 11,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.80 : 32,095.44 = 7,548 : x
  2. Step 2: Convert to fraction form
    21,400.80/32,095.44 = 7,548/x
  3. Step 3: Cross multiply
    21,400.80x = 32,095.44 × 7,548
  4. Step 4: Simplify right side
    21,400.80x = 242,256,381.12
  5. Step 5: Solve for x
    x = 242,256,381.12/21,400.80
  6. Step 6: Final answer
    x = 11,319.97

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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.