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Finding the Fourth Proportional to 9,689.85, 13,373.84 and 6,335.55

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Solution

The fourth proportional to 9,689.85, 13,373.84 and 6,335.55 is: 8,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.85 : 13,373.84 = 6,335.55 : x
  2. Step 2: Convert to fraction form
    9,689.85/13,373.84 = 6,335.55/x
  3. Step 3: Cross multiply
    9,689.85x = 13,373.84 × 6,335.55
  4. Step 4: Simplify right side
    9,689.85x = 84,730,632.01
  5. Step 5: Solve for x
    x = 84,730,632.01/9,689.85
  6. Step 6: Final answer
    x = 8,744.27

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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.