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Finding the Fourth Proportional to 9,689.48, 13,375.55 and 6,549.92

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Solution

The fourth proportional to 9,689.48, 13,375.55 and 6,549.92 is: 9,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.48 : 13,375.55 = 6,549.92 : x
  2. Step 2: Convert to fraction form
    9,689.48/13,375.55 = 6,549.92/x
  3. Step 3: Cross multiply
    9,689.48x = 13,375.55 × 6,549.92
  4. Step 4: Simplify right side
    9,689.48x = 87,608,782.46
  5. Step 5: Solve for x
    x = 87,608,782.46/9,689.48
  6. Step 6: Final answer
    x = 9,041.64

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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.