Home / 10,712.16-16,074-4,471.20

Finding the Fourth Proportional to 10,712.16, 16,074 and 4,471.20

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Solution

The fourth proportional to 10,712.16, 16,074 and 4,471.20 is: 6,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.16 : 16,074 = 4,471.20 : x
  2. Step 2: Convert to fraction form
    10,712.16/16,074 = 4,471.20/x
  3. Step 3: Cross multiply
    10,712.16x = 16,074 × 4,471.20
  4. Step 4: Simplify right side
    10,712.16x = 71,870,068.80
  5. Step 5: Solve for x
    x = 71,870,068.80/10,712.16
  6. Step 6: Final answer
    x = 6,709.20

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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.