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Finding the Fourth Proportional to 2,746.23, 4,118.49 and 991.00

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Solution

The fourth proportional to 2,746.23, 4,118.49 and 991.00 is: 1,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.23 : 4,118.49 = 991.00 : x
  2. Step 2: Convert to fraction form
    2,746.23/4,118.49 = 991.00/x
  3. Step 3: Cross multiply
    2,746.23x = 4,118.49 × 991.00
  4. Step 4: Simplify right side
    2,746.23x = 4,081,423.78
  5. Step 5: Solve for x
    x = 4,081,423.78/2,746.23
  6. Step 6: Final answer
    x = 1,486.19

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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.