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Finding the Fourth Proportional to 11,428.47, 15,772.06 and 6,393.15

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Solution

The fourth proportional to 11,428.47, 15,772.06 and 6,393.15 is: 8,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.47 : 15,772.06 = 6,393.15 : x
  2. Step 2: Convert to fraction form
    11,428.47/15,772.06 = 6,393.15/x
  3. Step 3: Cross multiply
    11,428.47x = 15,772.06 × 6,393.15
  4. Step 4: Simplify right side
    11,428.47x = 100,833,145.39
  5. Step 5: Solve for x
    x = 100,833,145.39/11,428.47
  6. Step 6: Final answer
    x = 8,822.98

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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.