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Finding the Fourth Proportional to 7,031.30, 9,716.04 and 6,689.70

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Solution

The fourth proportional to 7,031.30, 9,716.04 and 6,689.70 is: 9,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.30 : 9,716.04 = 6,689.70 : x
  2. Step 2: Convert to fraction form
    7,031.30/9,716.04 = 6,689.70/x
  3. Step 3: Cross multiply
    7,031.30x = 9,716.04 × 6,689.70
  4. Step 4: Simplify right side
    7,031.30x = 64,997,392.79
  5. Step 5: Solve for x
    x = 64,997,392.79/7,031.30
  6. Step 6: Final answer
    x = 9,244.01

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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.