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Finding the Fourth Proportional to 12,787.76, 17,647.12 and 7,123.60

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Solution

The fourth proportional to 12,787.76, 17,647.12 and 7,123.60 is: 9,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.76 : 17,647.12 = 7,123.60 : x
  2. Step 2: Convert to fraction form
    12,787.76/17,647.12 = 7,123.60/x
  3. Step 3: Cross multiply
    12,787.76x = 17,647.12 × 7,123.60
  4. Step 4: Simplify right side
    12,787.76x = 125,711,024.03
  5. Step 5: Solve for x
    x = 125,711,024.03/12,787.76
  6. Step 6: Final answer
    x = 9,830.57

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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.