Home / 2,102.61-3,154.29-869.35

Finding the Fourth Proportional to 2,102.61, 3,154.29 and 869.35

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Solution

The fourth proportional to 2,102.61, 3,154.29 and 869.35 is: 1,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.61 : 3,154.29 = 869.35 : x
  2. Step 2: Convert to fraction form
    2,102.61/3,154.29 = 869.35/x
  3. Step 3: Cross multiply
    2,102.61x = 3,154.29 × 869.35
  4. Step 4: Simplify right side
    2,102.61x = 2,742,181.67
  5. Step 5: Solve for x
    x = 2,742,181.67/2,102.61
  6. Step 6: Final answer
    x = 1,304.18

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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.