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Finding the Fourth Proportional to 6,513.75, 8,984.12 and 4,125.06

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Solution

The fourth proportional to 6,513.75, 8,984.12 and 4,125.06 is: 5,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.75 : 8,984.12 = 4,125.06 : x
  2. Step 2: Convert to fraction form
    6,513.75/8,984.12 = 4,125.06/x
  3. Step 3: Cross multiply
    6,513.75x = 8,984.12 × 4,125.06
  4. Step 4: Simplify right side
    6,513.75x = 37,060,013.42
  5. Step 5: Solve for x
    x = 37,060,013.42/6,513.75
  6. Step 6: Final answer
    x = 5,689.51

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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.