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Finding the Fourth Proportional to 10,750.68, 14,821.78 and 7,387.28

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Solution

The fourth proportional to 10,750.68, 14,821.78 and 7,387.28 is: 10,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.68 : 14,821.78 = 7,387.28 : x
  2. Step 2: Convert to fraction form
    10,750.68/14,821.78 = 7,387.28/x
  3. Step 3: Cross multiply
    10,750.68x = 14,821.78 × 7,387.28
  4. Step 4: Simplify right side
    10,750.68x = 109,492,638.96
  5. Step 5: Solve for x
    x = 109,492,638.96/10,750.68
  6. Step 6: Final answer
    x = 10,184.72

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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.