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Finding the Fourth Proportional to 8,307.72, 12,461.64 and 2,151.72

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Solution

The fourth proportional to 8,307.72, 12,461.64 and 2,151.72 is: 3,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.72 : 12,461.64 = 2,151.72 : x
  2. Step 2: Convert to fraction form
    8,307.72/12,461.64 = 2,151.72/x
  3. Step 3: Cross multiply
    8,307.72x = 12,461.64 × 2,151.72
  4. Step 4: Simplify right side
    8,307.72x = 26,813,960.02
  5. Step 5: Solve for x
    x = 26,813,960.02/8,307.72
  6. Step 6: Final answer
    x = 3,227.60

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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.