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Finding the Fourth Proportional to 1,172.13, 1,624.95 and 1,109.71

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Solution

The fourth proportional to 1,172.13, 1,624.95 and 1,109.71 is: 1,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.13 : 1,624.95 = 1,109.71 : x
  2. Step 2: Convert to fraction form
    1,172.13/1,624.95 = 1,109.71/x
  3. Step 3: Cross multiply
    1,172.13x = 1,624.95 × 1,109.71
  4. Step 4: Simplify right side
    1,172.13x = 1,803,223.26
  5. Step 5: Solve for x
    x = 1,803,223.26/1,172.13
  6. Step 6: Final answer
    x = 1,538.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.