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Finding the Fourth Proportional to 2,870.76, 3,961.04 and 2,075.24

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Solution

The fourth proportional to 2,870.76, 3,961.04 and 2,075.24 is: 2,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.76 : 3,961.04 = 2,075.24 : x
  2. Step 2: Convert to fraction form
    2,870.76/3,961.04 = 2,075.24/x
  3. Step 3: Cross multiply
    2,870.76x = 3,961.04 × 2,075.24
  4. Step 4: Simplify right side
    2,870.76x = 8,220,108.65
  5. Step 5: Solve for x
    x = 8,220,108.65/2,870.76
  6. Step 6: Final answer
    x = 2,863.39

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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.