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Finding the Fourth Proportional to 8,312.15, 11,475 and 6,419.49

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Solution

The fourth proportional to 8,312.15, 11,475 and 6,419.49 is: 8,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.15 : 11,475 = 6,419.49 : x
  2. Step 2: Convert to fraction form
    8,312.15/11,475 = 6,419.49/x
  3. Step 3: Cross multiply
    8,312.15x = 11,475 × 6,419.49
  4. Step 4: Simplify right side
    8,312.15x = 73,663,604.72
  5. Step 5: Solve for x
    x = 73,663,604.72/8,312.15
  6. Step 6: Final answer
    x = 8,862.16

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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.