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Finding the Fourth Proportional to 1,541.70, 2,125.35 and 951.84

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Solution

The fourth proportional to 1,541.70, 2,125.35 and 951.84 is: 1,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.70 : 2,125.35 = 951.84 : x
  2. Step 2: Convert to fraction form
    1,541.70/2,125.35 = 951.84/x
  3. Step 3: Cross multiply
    1,541.70x = 2,125.35 × 951.84
  4. Step 4: Simplify right side
    1,541.70x = 2,022,993.14
  5. Step 5: Solve for x
    x = 2,022,993.14/1,541.70
  6. Step 6: Final answer
    x = 1,312.18

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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.