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Finding the Fourth Proportional to 8,478.65, 12,702.38 and 5,315.49

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Solution

The fourth proportional to 8,478.65, 12,702.38 and 5,315.49 is: 7,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.65 : 12,702.38 = 5,315.49 : x
  2. Step 2: Convert to fraction form
    8,478.65/12,702.38 = 5,315.49/x
  3. Step 3: Cross multiply
    8,478.65x = 12,702.38 × 5,315.49
  4. Step 4: Simplify right side
    8,478.65x = 67,519,347.29
  5. Step 5: Solve for x
    x = 67,519,347.29/8,478.65
  6. Step 6: Final answer
    x = 7,963.45

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1.5x scale

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.