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Finding the Fourth Proportional to 2,652.84, 3,658.71 and 1,991.16

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Solution

The fourth proportional to 2,652.84, 3,658.71 and 1,991.16 is: 2,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.84 : 3,658.71 = 1,991.16 : x
  2. Step 2: Convert to fraction form
    2,652.84/3,658.71 = 1,991.16/x
  3. Step 3: Cross multiply
    2,652.84x = 3,658.71 × 1,991.16
  4. Step 4: Simplify right side
    2,652.84x = 7,285,077.00
  5. Step 5: Solve for x
    x = 7,285,077.00/2,652.84
  6. Step 6: Final answer
    x = 2,746.14

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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.