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Finding the Fourth Proportional to 6,875.40, 9,488.40 and 4,042.95

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Solution

The fourth proportional to 6,875.40, 9,488.40 and 4,042.95 is: 5,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.40 : 9,488.40 = 4,042.95 : x
  2. Step 2: Convert to fraction form
    6,875.40/9,488.40 = 4,042.95/x
  3. Step 3: Cross multiply
    6,875.40x = 9,488.40 × 4,042.95
  4. Step 4: Simplify right side
    6,875.40x = 38,361,126.78
  5. Step 5: Solve for x
    x = 38,361,126.78/6,875.40
  6. Step 6: Final answer
    x = 5,579.48

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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.