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Finding the Fourth Proportional to 2,488.95, 3,432.11 and 1,780.65

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Solution

The fourth proportional to 2,488.95, 3,432.11 and 1,780.65 is: 2,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.95 : 3,432.11 = 1,780.65 : x
  2. Step 2: Convert to fraction form
    2,488.95/3,432.11 = 1,780.65/x
  3. Step 3: Cross multiply
    2,488.95x = 3,432.11 × 1,780.65
  4. Step 4: Simplify right side
    2,488.95x = 6,111,377.77
  5. Step 5: Solve for x
    x = 6,111,377.77/2,488.95
  6. Step 6: Final answer
    x = 2,455.40

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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.