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Finding the Fourth Proportional to 2,421.47, 3,342.87 and 1,713.87

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Solution

The fourth proportional to 2,421.47, 3,342.87 and 1,713.87 is: 2,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.47 : 3,342.87 = 1,713.87 : x
  2. Step 2: Convert to fraction form
    2,421.47/3,342.87 = 1,713.87/x
  3. Step 3: Cross multiply
    2,421.47x = 3,342.87 × 1,713.87
  4. Step 4: Simplify right side
    2,421.47x = 5,729,236.04
  5. Step 5: Solve for x
    x = 5,729,236.04/2,421.47
  6. Step 6: Final answer
    x = 2,366.02

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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.