Home / 1,646.24-2,271.90-938.30

Finding the Fourth Proportional to 1,646.24, 2,271.90 and 938.30

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Solution

The fourth proportional to 1,646.24, 2,271.90 and 938.30 is: 1,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.24 : 2,271.90 = 938.30 : x
  2. Step 2: Convert to fraction form
    1,646.24/2,271.90 = 938.30/x
  3. Step 3: Cross multiply
    1,646.24x = 2,271.90 × 938.30
  4. Step 4: Simplify right side
    1,646.24x = 2,131,712.41
  5. Step 5: Solve for x
    x = 2,131,712.41/1,646.24
  6. Step 6: Final answer
    x = 1,294.90

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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.