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Finding the Fourth Proportional to 5,703.39, 7,870.65 and 3,219.39

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Solution

The fourth proportional to 5,703.39, 7,870.65 and 3,219.39 is: 4,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.39 : 7,870.65 = 3,219.39 : x
  2. Step 2: Convert to fraction form
    5,703.39/7,870.65 = 3,219.39/x
  3. Step 3: Cross multiply
    5,703.39x = 7,870.65 × 3,219.39
  4. Step 4: Simplify right side
    5,703.39x = 25,338,691.90
  5. Step 5: Solve for x
    x = 25,338,691.90/5,703.39
  6. Step 6: Final answer
    x = 4,442.74

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Half scale
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Double scale
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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.