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Finding the Fourth Proportional to 2,248.68, 3,374.94 and 881.64

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Solution

The fourth proportional to 2,248.68, 3,374.94 and 881.64 is: 1,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.68 : 3,374.94 = 881.64 : x
  2. Step 2: Convert to fraction form
    2,248.68/3,374.94 = 881.64/x
  3. Step 3: Cross multiply
    2,248.68x = 3,374.94 × 881.64
  4. Step 4: Simplify right side
    2,248.68x = 2,975,482.10
  5. Step 5: Solve for x
    x = 2,975,482.10/2,248.68
  6. Step 6: Final answer
    x = 1,323.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.