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Finding the Fourth Proportional to 2,323.12, 3,482.98 and 862.28

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Solution

The fourth proportional to 2,323.12, 3,482.98 and 862.28 is: 1,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.12 : 3,482.98 = 862.28 : x
  2. Step 2: Convert to fraction form
    2,323.12/3,482.98 = 862.28/x
  3. Step 3: Cross multiply
    2,323.12x = 3,482.98 × 862.28
  4. Step 4: Simplify right side
    2,323.12x = 3,003,303.99
  5. Step 5: Solve for x
    x = 3,003,303.99/2,323.12
  6. Step 6: Final answer
    x = 1,292.79

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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.