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Finding the Fourth Proportional to 1,101.98, 1,509.47 and 1,087.94

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Solution

The fourth proportional to 1,101.98, 1,509.47 and 1,087.94 is: 1,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.98 : 1,509.47 = 1,087.94 : x
  2. Step 2: Convert to fraction form
    1,101.98/1,509.47 = 1,087.94/x
  3. Step 3: Cross multiply
    1,101.98x = 1,509.47 × 1,087.94
  4. Step 4: Simplify right side
    1,101.98x = 1,642,212.79
  5. Step 5: Solve for x
    x = 1,642,212.79/1,101.98
  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.