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Finding the Fourth Proportional to 28,506.50, 42,768.98 and 13,713.50

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Solution

The fourth proportional to 28,506.50, 42,768.98 and 13,713.50 is: 20,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,506.50 : 42,768.98 = 13,713.50 : x
  2. Step 2: Convert to fraction form
    28,506.50/42,768.98 = 13,713.50/x
  3. Step 3: Cross multiply
    28,506.50x = 42,768.98 × 13,713.50
  4. Step 4: Simplify right side
    28,506.50x = 586,512,407.23
  5. Step 5: Solve for x
    x = 586,512,407.23/28,506.50
  6. Step 6: Final answer
    x = 20,574.69

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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.