Home / 21,384-32,089.84-11,530.16

Finding the Fourth Proportional to 21,384, 32,089.84 and 11,530.16

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Solution

The fourth proportional to 21,384, 32,089.84 and 11,530.16 is: 17,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384 : 32,089.84 = 11,530.16 : x
  2. Step 2: Convert to fraction form
    21,384/32,089.84 = 11,530.16/x
  3. Step 3: Cross multiply
    21,384x = 32,089.84 × 11,530.16
  4. Step 4: Simplify right side
    21,384x = 370,000,989.57
  5. Step 5: Solve for x
    x = 370,000,989.57/21,384
  6. Step 6: Final answer
    x = 17,302.70

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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.