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Finding the Fourth Proportional to 10,281.84, 15,426 and 4,441.20

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Solution

The fourth proportional to 10,281.84, 15,426 and 4,441.20 is: 6,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.84 : 15,426 = 4,441.20 : x
  2. Step 2: Convert to fraction form
    10,281.84/15,426 = 4,441.20/x
  3. Step 3: Cross multiply
    10,281.84x = 15,426 × 4,441.20
  4. Step 4: Simplify right side
    10,281.84x = 68,509,951.20
  5. Step 5: Solve for x
    x = 68,509,951.20/10,281.84
  6. Step 6: Final answer
    x = 6,663.20

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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.