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Finding the Fourth Proportional to 2,825.29, 4,236.90 and 975.90

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Solution

The fourth proportional to 2,825.29, 4,236.90 and 975.90 is: 1,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.29 : 4,236.90 = 975.90 : x
  2. Step 2: Convert to fraction form
    2,825.29/4,236.90 = 975.90/x
  3. Step 3: Cross multiply
    2,825.29x = 4,236.90 × 975.90
  4. Step 4: Simplify right side
    2,825.29x = 4,134,790.71
  5. Step 5: Solve for x
    x = 4,134,790.71/2,825.29
  6. Step 6: Final answer
    x = 1,463.49

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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.