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Finding the Fourth Proportional to 7,780.32, 10,734.48 and 7,031.88

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Solution

The fourth proportional to 7,780.32, 10,734.48 and 7,031.88 is: 9,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.32 : 10,734.48 = 7,031.88 : x
  2. Step 2: Convert to fraction form
    7,780.32/10,734.48 = 7,031.88/x
  3. Step 3: Cross multiply
    7,780.32x = 10,734.48 × 7,031.88
  4. Step 4: Simplify right side
    7,780.32x = 75,483,575.22
  5. Step 5: Solve for x
    x = 75,483,575.22/7,780.32
  6. Step 6: Final answer
    x = 9,701.86

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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.