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Finding the Fourth Proportional to 6,670.92, 9,214.64 and 5,118.16

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Solution

The fourth proportional to 6,670.92, 9,214.64 and 5,118.16 is: 7,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.92 : 9,214.64 = 5,118.16 : x
  2. Step 2: Convert to fraction form
    6,670.92/9,214.64 = 5,118.16/x
  3. Step 3: Cross multiply
    6,670.92x = 9,214.64 × 5,118.16
  4. Step 4: Simplify right side
    6,670.92x = 47,162,001.86
  5. Step 5: Solve for x
    x = 47,162,001.86/6,670.92
  6. Step 6: Final answer
    x = 7,069.79

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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.