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Finding the Fourth Proportional to 7,031.81, 9,675.65 and 6,789.42

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Solution

The fourth proportional to 7,031.81, 9,675.65 and 6,789.42 is: 9,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.81 : 9,675.65 = 6,789.42 : x
  2. Step 2: Convert to fraction form
    7,031.81/9,675.65 = 6,789.42/x
  3. Step 3: Cross multiply
    7,031.81x = 9,675.65 × 6,789.42
  4. Step 4: Simplify right side
    7,031.81x = 65,692,068.60
  5. Step 5: Solve for x
    x = 65,692,068.60/7,031.81
  6. Step 6: Final answer
    x = 9,342.12

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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.