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Finding the Fourth Proportional to 2,941.40, 4,412.30 and 992.92

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Solution

The fourth proportional to 2,941.40, 4,412.30 and 992.92 is: 1,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.40 : 4,412.30 = 992.92 : x
  2. Step 2: Convert to fraction form
    2,941.40/4,412.30 = 992.92/x
  3. Step 3: Cross multiply
    2,941.40x = 4,412.30 × 992.92
  4. Step 4: Simplify right side
    2,941.40x = 4,381,060.92
  5. Step 5: Solve for x
    x = 4,381,060.92/2,941.40
  6. Step 6: Final answer
    x = 1,489.45

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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.