Home / 2,287.13-3,430.01-970.86

Finding the Fourth Proportional to 2,287.13, 3,430.01 and 970.86

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Solution

The fourth proportional to 2,287.13, 3,430.01 and 970.86 is: 1,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.13 : 3,430.01 = 970.86 : x
  2. Step 2: Convert to fraction form
    2,287.13/3,430.01 = 970.86/x
  3. Step 3: Cross multiply
    2,287.13x = 3,430.01 × 970.86
  4. Step 4: Simplify right side
    2,287.13x = 3,330,061.94
  5. Step 5: Solve for x
    x = 3,330,061.94/2,287.13
  6. Step 6: Final answer
    x = 1,456.00

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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.