Home / 1,102.31-1,510.32-1,087.65

Finding the Fourth Proportional to 1,102.31, 1,510.32 and 1,087.65

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Solution

The fourth proportional to 1,102.31, 1,510.32 and 1,087.65 is: 1,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.31 : 1,510.32 = 1,087.65 : x
  2. Step 2: Convert to fraction form
    1,102.31/1,510.32 = 1,087.65/x
  3. Step 3: Cross multiply
    1,102.31x = 1,510.32 × 1,087.65
  4. Step 4: Simplify right side
    1,102.31x = 1,642,704.82
  5. Step 5: Solve for x
    x = 1,642,704.82/1,102.31
  6. Step 6: Final answer
    x = 1,490.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.