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Finding the Fourth Proportional to 1,781.76, 2,684.80 and 1,464.24

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Solution

The fourth proportional to 1,781.76, 2,684.80 and 1,464.24 is: 2,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.76 : 2,684.80 = 1,464.24 : x
  2. Step 2: Convert to fraction form
    1,781.76/2,684.80 = 1,464.24/x
  3. Step 3: Cross multiply
    1,781.76x = 2,684.80 × 1,464.24
  4. Step 4: Simplify right side
    1,781.76x = 3,931,170.81
  5. Step 5: Solve for x
    x = 3,931,170.81/1,781.76
  6. Step 6: Final answer
    x = 2,206.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.