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Finding the Fourth Proportional to 2,487.84, 3,439.44 and 1,865.76

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Solution

The fourth proportional to 2,487.84, 3,439.44 and 1,865.76 is: 2,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.84 : 3,439.44 = 1,865.76 : x
  2. Step 2: Convert to fraction form
    2,487.84/3,439.44 = 1,865.76/x
  3. Step 3: Cross multiply
    2,487.84x = 3,439.44 × 1,865.76
  4. Step 4: Simplify right side
    2,487.84x = 6,417,169.57
  5. Step 5: Solve for x
    x = 6,417,169.57/2,487.84
  6. Step 6: Final answer
    x = 2,579.41

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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.