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Finding the Fourth Proportional to 1,518.58, 2,267.69 and 1,207

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Solution

The fourth proportional to 1,518.58, 2,267.69 and 1,207 is: 1,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.58 : 2,267.69 = 1,207 : x
  2. Step 2: Convert to fraction form
    1,518.58/2,267.69 = 1,207/x
  3. Step 3: Cross multiply
    1,518.58x = 2,267.69 × 1,207
  4. Step 4: Simplify right side
    1,518.58x = 2,737,101.83
  5. Step 5: Solve for x
    x = 2,737,101.83/1,518.58
  6. Step 6: Final answer
    x = 1,802.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.