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Finding the Fourth Proportional to 2,574.86, 3,868.44 and 1,652.21

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Solution

The fourth proportional to 2,574.86, 3,868.44 and 1,652.21 is: 2,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.86 : 3,868.44 = 1,652.21 : x
  2. Step 2: Convert to fraction form
    2,574.86/3,868.44 = 1,652.21/x
  3. Step 3: Cross multiply
    2,574.86x = 3,868.44 × 1,652.21
  4. Step 4: Simplify right side
    2,574.86x = 6,391,455.91
  5. Step 5: Solve for x
    x = 6,391,455.91/2,574.86
  6. Step 6: Final answer
    x = 2,482.26

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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.