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Finding the Fourth Proportional to 9,313.59, 12,843.12 and 6,484.20

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Solution

The fourth proportional to 9,313.59, 12,843.12 and 6,484.20 is: 8,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.59 : 12,843.12 = 6,484.20 : x
  2. Step 2: Convert to fraction form
    9,313.59/12,843.12 = 6,484.20/x
  3. Step 3: Cross multiply
    9,313.59x = 12,843.12 × 6,484.20
  4. Step 4: Simplify right side
    9,313.59x = 83,277,358.70
  5. Step 5: Solve for x
    x = 83,277,358.70/9,313.59
  6. Step 6: Final answer
    x = 8,941.49

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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.