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Finding the Fourth Proportional to 9,478.46, 13,068.08 and 6,489.14

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Solution

The fourth proportional to 9,478.46, 13,068.08 and 6,489.14 is: 8,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.46 : 13,068.08 = 6,489.14 : x
  2. Step 2: Convert to fraction form
    9,478.46/13,068.08 = 6,489.14/x
  3. Step 3: Cross multiply
    9,478.46x = 13,068.08 × 6,489.14
  4. Step 4: Simplify right side
    9,478.46x = 84,800,600.65
  5. Step 5: Solve for x
    x = 84,800,600.65/9,478.46
  6. Step 6: Final answer
    x = 8,946.66

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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.