Home / 2,530.15-3,795.42-970.90

Finding the Fourth Proportional to 2,530.15, 3,795.42 and 970.90

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Solution

The fourth proportional to 2,530.15, 3,795.42 and 970.90 is: 1,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.15 : 3,795.42 = 970.90 : x
  2. Step 2: Convert to fraction form
    2,530.15/3,795.42 = 970.90/x
  3. Step 3: Cross multiply
    2,530.15x = 3,795.42 × 970.90
  4. Step 4: Simplify right side
    2,530.15x = 3,684,973.28
  5. Step 5: Solve for x
    x = 3,684,973.28/2,530.15
  6. Step 6: Final answer
    x = 1,456.42

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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.