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Finding the Fourth Proportional to 12,471, 18,706.50 and 6,315

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Solution

The fourth proportional to 12,471, 18,706.50 and 6,315 is: 9,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471 : 18,706.50 = 6,315 : x
  2. Step 2: Convert to fraction form
    12,471/18,706.50 = 6,315/x
  3. Step 3: Cross multiply
    12,471x = 18,706.50 × 6,315
  4. Step 4: Simplify right side
    12,471x = 118,131,547.50
  5. Step 5: Solve for x
    x = 118,131,547.50/12,471
  6. Step 6: Final answer
    x = 9,472.50

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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.