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Finding the Fourth Proportional to 15,705, 23,568.30 and 6,471

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Solution

The fourth proportional to 15,705, 23,568.30 and 6,471 is: 9,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705 : 23,568.30 = 6,471 : x
  2. Step 2: Convert to fraction form
    15,705/23,568.30 = 6,471/x
  3. Step 3: Cross multiply
    15,705x = 23,568.30 × 6,471
  4. Step 4: Simplify right side
    15,705x = 152,510,469.30
  5. Step 5: Solve for x
    x = 152,510,469.30/15,705
  6. Step 6: Final answer
    x = 9,710.95

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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.