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Finding the Fourth Proportional to 21,080, 31,603.56 and 10,554.20

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Solution

The fourth proportional to 21,080, 31,603.56 and 10,554.20 is: 15,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,080 : 31,603.56 = 10,554.20 : x
  2. Step 2: Convert to fraction form
    21,080/31,603.56 = 10,554.20/x
  3. Step 3: Cross multiply
    21,080x = 31,603.56 × 10,554.20
  4. Step 4: Simplify right side
    21,080x = 333,550,292.95
  5. Step 5: Solve for x
    x = 333,550,292.95/21,080
  6. Step 6: Final answer
    x = 15,823.07

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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.