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Finding the Fourth Proportional to 10,491.76, 14,479.44 and 5,776.88

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Solution

The fourth proportional to 10,491.76, 14,479.44 and 5,776.88 is: 7,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.76 : 14,479.44 = 5,776.88 : x
  2. Step 2: Convert to fraction form
    10,491.76/14,479.44 = 5,776.88/x
  3. Step 3: Cross multiply
    10,491.76x = 14,479.44 × 5,776.88
  4. Step 4: Simplify right side
    10,491.76x = 83,645,987.35
  5. Step 5: Solve for x
    x = 83,645,987.35/10,491.76
  6. Step 6: Final answer
    x = 7,972.54

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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.