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Finding the Fourth Proportional to 2,440.08, 3,657.88 and 900

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Solution

The fourth proportional to 2,440.08, 3,657.88 and 900 is: 1,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.08 : 3,657.88 = 900 : x
  2. Step 2: Convert to fraction form
    2,440.08/3,657.88 = 900/x
  3. Step 3: Cross multiply
    2,440.08x = 3,657.88 × 900
  4. Step 4: Simplify right side
    2,440.08x = 3,292,092
  5. Step 5: Solve for x
    x = 3,292,092/2,440.08
  6. Step 6: Final answer
    x = 1,349.17

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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.