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Finding the Fourth Proportional to 7,031.70, 9,700.80 and 4,374.50

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Solution

The fourth proportional to 7,031.70, 9,700.80 and 4,374.50 is: 6,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.70 : 9,700.80 = 4,374.50 : x
  2. Step 2: Convert to fraction form
    7,031.70/9,700.80 = 4,374.50/x
  3. Step 3: Cross multiply
    7,031.70x = 9,700.80 × 4,374.50
  4. Step 4: Simplify right side
    7,031.70x = 42,436,101.10
  5. Step 5: Solve for x
    x = 42,436,101.10/7,031.70
  6. Step 6: Final answer
    x = 6,034.97

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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.