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Finding the Fourth Proportional to 8,951.64, 12,364.86 and 6,814.18

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Solution

The fourth proportional to 8,951.64, 12,364.86 and 6,814.18 is: 9,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951.64 : 12,364.86 = 6,814.18 : x
  2. Step 2: Convert to fraction form
    8,951.64/12,364.86 = 6,814.18/x
  3. Step 3: Cross multiply
    8,951.64x = 12,364.86 × 6,814.18
  4. Step 4: Simplify right side
    8,951.64x = 84,256,381.71
  5. Step 5: Solve for x
    x = 84,256,381.71/8,951.64
  6. Step 6: Final answer
    x = 9,412.40

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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.