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Finding the Fourth Proportional to 10,471, 15,713.70 and 4,315

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Solution

The fourth proportional to 10,471, 15,713.70 and 4,315 is: 6,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471 : 15,713.70 = 4,315 : x
  2. Step 2: Convert to fraction form
    10,471/15,713.70 = 4,315/x
  3. Step 3: Cross multiply
    10,471x = 15,713.70 × 4,315
  4. Step 4: Simplify right side
    10,471x = 67,804,615.50
  5. Step 5: Solve for x
    x = 67,804,615.50/10,471
  6. Step 6: Final answer
    x = 6,475.47

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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.