Home / 1,403.25-2,107.30-970.71

Finding the Fourth Proportional to 1,403.25, 2,107.30 and 970.71

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Solution

The fourth proportional to 1,403.25, 2,107.30 and 970.71 is: 1,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.25 : 2,107.30 = 970.71 : x
  2. Step 2: Convert to fraction form
    1,403.25/2,107.30 = 970.71/x
  3. Step 3: Cross multiply
    1,403.25x = 2,107.30 × 970.71
  4. Step 4: Simplify right side
    1,403.25x = 2,045,577.18
  5. Step 5: Solve for x
    x = 2,045,577.18/1,403.25
  6. Step 6: Final answer
    x = 1,457.74

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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.