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Finding the Fourth Proportional to 9,114.86, 12,559.76 and 6,990.30

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Solution

The fourth proportional to 9,114.86, 12,559.76 and 6,990.30 is: 9,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.86 : 12,559.76 = 6,990.30 : x
  2. Step 2: Convert to fraction form
    9,114.86/12,559.76 = 6,990.30/x
  3. Step 3: Cross multiply
    9,114.86x = 12,559.76 × 6,990.30
  4. Step 4: Simplify right side
    9,114.86x = 87,796,455.38
  5. Step 5: Solve for x
    x = 87,796,455.38/9,114.86
  6. Step 6: Final answer
    x = 9,632.24

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Half scale
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Double scale
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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.