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Finding the Fourth Proportional to 7,189.52, 9,868.52 and 6,386

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Solution

The fourth proportional to 7,189.52, 9,868.52 and 6,386 is: 8,765.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.52 : 9,868.52 = 6,386 : x
  2. Step 2: Convert to fraction form
    7,189.52/9,868.52 = 6,386/x
  3. Step 3: Cross multiply
    7,189.52x = 9,868.52 × 6,386
  4. Step 4: Simplify right side
    7,189.52x = 63,020,368.72
  5. Step 5: Solve for x
    x = 63,020,368.72/7,189.52
  6. Step 6: Final answer
    x = 8,765.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.