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Finding the Fourth Proportional to 13,188.47, 19,787.28 and 7,646.63

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Solution

The fourth proportional to 13,188.47, 19,787.28 and 7,646.63 is: 11,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.47 : 19,787.28 = 7,646.63 : x
  2. Step 2: Convert to fraction form
    13,188.47/19,787.28 = 7,646.63/x
  3. Step 3: Cross multiply
    13,188.47x = 19,787.28 × 7,646.63
  4. Step 4: Simplify right side
    13,188.47x = 151,306,008.87
  5. Step 5: Solve for x
    x = 151,306,008.87/13,188.47
  6. Step 6: Final answer
    x = 11,472.60

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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.