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Finding the Fourth Proportional to 2,871.70, 4,307.55 and 2,223.70

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Solution

The fourth proportional to 2,871.70, 4,307.55 and 2,223.70 is: 3,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.70 : 4,307.55 = 2,223.70 : x
  2. Step 2: Convert to fraction form
    2,871.70/4,307.55 = 2,223.70/x
  3. Step 3: Cross multiply
    2,871.70x = 4,307.55 × 2,223.70
  4. Step 4: Simplify right side
    2,871.70x = 9,578,698.94
  5. Step 5: Solve for x
    x = 9,578,698.94/2,871.70
  6. Step 6: Final answer
    x = 3,335.55

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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.