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Finding the Fourth Proportional to 10,428.45, 15,644.98 and 5,746.05

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Solution

The fourth proportional to 10,428.45, 15,644.98 and 5,746.05 is: 8,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.45 : 15,644.98 = 5,746.05 : x
  2. Step 2: Convert to fraction form
    10,428.45/15,644.98 = 5,746.05/x
  3. Step 3: Cross multiply
    10,428.45x = 15,644.98 × 5,746.05
  4. Step 4: Simplify right side
    10,428.45x = 89,896,837.33
  5. Step 5: Solve for x
    x = 89,896,837.33/10,428.45
  6. Step 6: Final answer
    x = 8,620.35

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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.