Home / 1,427.48-2,141.16-697.12

Finding the Fourth Proportional to 1,427.48, 2,141.16 and 697.12

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Solution

The fourth proportional to 1,427.48, 2,141.16 and 697.12 is: 1,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.48 : 2,141.16 = 697.12 : x
  2. Step 2: Convert to fraction form
    1,427.48/2,141.16 = 697.12/x
  3. Step 3: Cross multiply
    1,427.48x = 2,141.16 × 697.12
  4. Step 4: Simplify right side
    1,427.48x = 1,492,645.46
  5. Step 5: Solve for x
    x = 1,492,645.46/1,427.48
  6. Step 6: Final answer
    x = 1,045.65

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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.