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Finding the Fourth Proportional to 8,291.88, 12,465.16 and 7,683.17

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Solution

The fourth proportional to 8,291.88, 12,465.16 and 7,683.17 is: 11,550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.88 : 12,465.16 = 7,683.17 : x
  2. Step 2: Convert to fraction form
    8,291.88/12,465.16 = 7,683.17/x
  3. Step 3: Cross multiply
    8,291.88x = 12,465.16 × 7,683.17
  4. Step 4: Simplify right side
    8,291.88x = 95,771,861.82
  5. Step 5: Solve for x
    x = 95,771,861.82/8,291.88
  6. Step 6: Final answer
    x = 11,550.08

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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.