Home / 2,506-3,742.64-2,160.04

Finding the Fourth Proportional to 2,506, 3,742.64 and 2,160.04

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Solution

The fourth proportional to 2,506, 3,742.64 and 2,160.04 is: 3,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506 : 3,742.64 = 2,160.04 : x
  2. Step 2: Convert to fraction form
    2,506/3,742.64 = 2,160.04/x
  3. Step 3: Cross multiply
    2,506x = 3,742.64 × 2,160.04
  4. Step 4: Simplify right side
    2,506x = 8,084,252.11
  5. Step 5: Solve for x
    x = 8,084,252.11/2,506
  6. Step 6: Final answer
    x = 3,225.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.