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Finding the Fourth Proportional to 12,815.77, 17,687.51 and 7,512.70

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Solution

The fourth proportional to 12,815.77, 17,687.51 and 7,512.70 is: 10,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.77 : 17,687.51 = 7,512.70 : x
  2. Step 2: Convert to fraction form
    12,815.77/17,687.51 = 7,512.70/x
  3. Step 3: Cross multiply
    12,815.77x = 17,687.51 × 7,512.70
  4. Step 4: Simplify right side
    12,815.77x = 132,880,956.38
  5. Step 5: Solve for x
    x = 132,880,956.38/12,815.77
  6. Step 6: Final answer
    x = 10,368.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.