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Finding the Fourth Proportional to 3,145.68, 4,341 and 1,729.32

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Solution

The fourth proportional to 3,145.68, 4,341 and 1,729.32 is: 2,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.68 : 4,341 = 1,729.32 : x
  2. Step 2: Convert to fraction form
    3,145.68/4,341 = 1,729.32/x
  3. Step 3: Cross multiply
    3,145.68x = 4,341 × 1,729.32
  4. Step 4: Simplify right side
    3,145.68x = 7,506,978.12
  5. Step 5: Solve for x
    x = 7,506,978.12/3,145.68
  6. Step 6: Final answer
    x = 2,386.44

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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.