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Finding the Fourth Proportional to 1,951.56, 2,927.16 and 1,220.40

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Solution

The fourth proportional to 1,951.56, 2,927.16 and 1,220.40 is: 1,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.56 : 2,927.16 = 1,220.40 : x
  2. Step 2: Convert to fraction form
    1,951.56/2,927.16 = 1,220.40/x
  3. Step 3: Cross multiply
    1,951.56x = 2,927.16 × 1,220.40
  4. Step 4: Simplify right side
    1,951.56x = 3,572,306.06
  5. Step 5: Solve for x
    x = 3,572,306.06/1,951.56
  6. Step 6: Final answer
    x = 1,830.49

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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.