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Finding the Fourth Proportional to 21,987.47, 32,981.21 and 5,347.40

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Solution

The fourth proportional to 21,987.47, 32,981.21 and 5,347.40 is: 8,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.47 : 32,981.21 = 5,347.40 : x
  2. Step 2: Convert to fraction form
    21,987.47/32,981.21 = 5,347.40/x
  3. Step 3: Cross multiply
    21,987.47x = 32,981.21 × 5,347.40
  4. Step 4: Simplify right side
    21,987.47x = 176,363,530.71
  5. Step 5: Solve for x
    x = 176,363,530.71/21,987.47
  6. Step 6: Final answer
    x = 8,021.09

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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.