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Finding the Fourth Proportional to 28,475.59, 42,706 and 8,480.41

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Solution

The fourth proportional to 28,475.59, 42,706 and 8,480.41 is: 12,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,475.59 : 42,706 = 8,480.41 : x
  2. Step 2: Convert to fraction form
    28,475.59/42,706 = 8,480.41/x
  3. Step 3: Cross multiply
    28,475.59x = 42,706 × 8,480.41
  4. Step 4: Simplify right side
    28,475.59x = 362,164,389.46
  5. Step 5: Solve for x
    x = 362,164,389.46/28,475.59
  6. Step 6: Final answer
    x = 12,718.42

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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.