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Finding the Fourth Proportional to 21,687.40, 32,531.10 and 5,271.40

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Solution

The fourth proportional to 21,687.40, 32,531.10 and 5,271.40 is: 7,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.40 : 32,531.10 = 5,271.40 : x
  2. Step 2: Convert to fraction form
    21,687.40/32,531.10 = 5,271.40/x
  3. Step 3: Cross multiply
    21,687.40x = 32,531.10 × 5,271.40
  4. Step 4: Simplify right side
    21,687.40x = 171,484,440.54
  5. Step 5: Solve for x
    x = 171,484,440.54/21,687.40
  6. Step 6: Final answer
    x = 7,907.10

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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.