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Finding the Fourth Proportional to 8,207.70, 12,311.01 and 2,364.90

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Solution

The fourth proportional to 8,207.70, 12,311.01 and 2,364.90 is: 3,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.70 : 12,311.01 = 2,364.90 : x
  2. Step 2: Convert to fraction form
    8,207.70/12,311.01 = 2,364.90/x
  3. Step 3: Cross multiply
    8,207.70x = 12,311.01 × 2,364.90
  4. Step 4: Simplify right side
    8,207.70x = 29,114,307.55
  5. Step 5: Solve for x
    x = 29,114,307.55/8,207.70
  6. Step 6: Final answer
    x = 3,547.19

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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.