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Finding the Fourth Proportional to 14,312.76, 21,472.38 and 5,078.76

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Solution

The fourth proportional to 14,312.76, 21,472.38 and 5,078.76 is: 7,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.76 : 21,472.38 = 5,078.76 : x
  2. Step 2: Convert to fraction form
    14,312.76/21,472.38 = 5,078.76/x
  3. Step 3: Cross multiply
    14,312.76x = 21,472.38 × 5,078.76
  4. Step 4: Simplify right side
    14,312.76x = 109,053,064.65
  5. Step 5: Solve for x
    x = 109,053,064.65/14,312.76
  6. Step 6: Final answer
    x = 7,619.29

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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.