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Finding the Fourth Proportional to 8,423.07, 12,662.28 and 7,814.13

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Solution

The fourth proportional to 8,423.07, 12,662.28 and 7,814.13 is: 11,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.07 : 12,662.28 = 7,814.13 : x
  2. Step 2: Convert to fraction form
    8,423.07/12,662.28 = 7,814.13/x
  3. Step 3: Cross multiply
    8,423.07x = 12,662.28 × 7,814.13
  4. Step 4: Simplify right side
    8,423.07x = 98,944,702.02
  5. Step 5: Solve for x
    x = 98,944,702.02/8,423.07
  6. Step 6: Final answer
    x = 11,746.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.