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Finding the Fourth Proportional to 2,164.84, 3,247.35 and 931.39

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Solution

The fourth proportional to 2,164.84, 3,247.35 and 931.39 is: 1,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.84 : 3,247.35 = 931.39 : x
  2. Step 2: Convert to fraction form
    2,164.84/3,247.35 = 931.39/x
  3. Step 3: Cross multiply
    2,164.84x = 3,247.35 × 931.39
  4. Step 4: Simplify right side
    2,164.84x = 3,024,549.32
  5. Step 5: Solve for x
    x = 3,024,549.32/2,164.84
  6. Step 6: Final answer
    x = 1,397.12

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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.