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Finding the Fourth Proportional to 10,600.88, 15,869.72 and 6,428.32

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Solution

The fourth proportional to 10,600.88, 15,869.72 and 6,428.32 is: 9,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.88 : 15,869.72 = 6,428.32 : x
  2. Step 2: Convert to fraction form
    10,600.88/15,869.72 = 6,428.32/x
  3. Step 3: Cross multiply
    10,600.88x = 15,869.72 × 6,428.32
  4. Step 4: Simplify right side
    10,600.88x = 102,015,638.47
  5. Step 5: Solve for x
    x = 102,015,638.47/10,600.88
  6. Step 6: Final answer
    x = 9,623.32

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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.