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Finding the Fourth Proportional to 1,447.65, 1,998.90 and 1,337.08

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Solution

The fourth proportional to 1,447.65, 1,998.90 and 1,337.08 is: 1,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.65 : 1,998.90 = 1,337.08 : x
  2. Step 2: Convert to fraction form
    1,447.65/1,998.90 = 1,337.08/x
  3. Step 3: Cross multiply
    1,447.65x = 1,998.90 × 1,337.08
  4. Step 4: Simplify right side
    1,447.65x = 2,672,689.21
  5. Step 5: Solve for x
    x = 2,672,689.21/1,447.65
  6. Step 6: Final answer
    x = 1,846.23

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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.