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Finding the Fourth Proportional to 2,345.49, 3,518.73 and 702.05

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Solution

The fourth proportional to 2,345.49, 3,518.73 and 702.05 is: 1,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.49 : 3,518.73 = 702.05 : x
  2. Step 2: Convert to fraction form
    2,345.49/3,518.73 = 702.05/x
  3. Step 3: Cross multiply
    2,345.49x = 3,518.73 × 702.05
  4. Step 4: Simplify right side
    2,345.49x = 2,470,306.80
  5. Step 5: Solve for x
    x = 2,470,306.80/2,345.49
  6. Step 6: Final answer
    x = 1,053.22

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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.