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Finding the Fourth Proportional to 1,207.47, 1,809.19 and 1,161.91

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Solution

The fourth proportional to 1,207.47, 1,809.19 and 1,161.91 is: 1,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.47 : 1,809.19 = 1,161.91 : x
  2. Step 2: Convert to fraction form
    1,207.47/1,809.19 = 1,161.91/x
  3. Step 3: Cross multiply
    1,207.47x = 1,809.19 × 1,161.91
  4. Step 4: Simplify right side
    1,207.47x = 2,102,113.13
  5. Step 5: Solve for x
    x = 2,102,113.13/1,207.47
  6. Step 6: Final answer
    x = 1,740.93

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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.