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Finding the Fourth Proportional to 2,126.65, 3,189.84 and 956.35

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Solution

The fourth proportional to 2,126.65, 3,189.84 and 956.35 is: 1,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.65 : 3,189.84 = 956.35 : x
  2. Step 2: Convert to fraction form
    2,126.65/3,189.84 = 956.35/x
  3. Step 3: Cross multiply
    2,126.65x = 3,189.84 × 956.35
  4. Step 4: Simplify right side
    2,126.65x = 3,050,603.48
  5. Step 5: Solve for x
    x = 3,050,603.48/2,126.65
  6. Step 6: Final answer
    x = 1,434.46

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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.