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Finding the Fourth Proportional to 23,029.17, 31,780.02 and 12,820.04

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Solution

The fourth proportional to 23,029.17, 31,780.02 and 12,820.04 is: 17,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029.17 : 31,780.02 = 12,820.04 : x
  2. Step 2: Convert to fraction form
    23,029.17/31,780.02 = 12,820.04/x
  3. Step 3: Cross multiply
    23,029.17x = 31,780.02 × 12,820.04
  4. Step 4: Simplify right side
    23,029.17x = 407,421,127.60
  5. Step 5: Solve for x
    x = 407,421,127.60/23,029.17
  6. Step 6: Final answer
    x = 17,691.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.