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Finding the Fourth Proportional to 3,148.52, 4,722.62 and 840.02

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Solution

The fourth proportional to 3,148.52, 4,722.62 and 840.02 is: 1,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.52 : 4,722.62 = 840.02 : x
  2. Step 2: Convert to fraction form
    3,148.52/4,722.62 = 840.02/x
  3. Step 3: Cross multiply
    3,148.52x = 4,722.62 × 840.02
  4. Step 4: Simplify right side
    3,148.52x = 3,967,095.25
  5. Step 5: Solve for x
    x = 3,967,095.25/3,148.52
  6. Step 6: Final answer
    x = 1,259.99

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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.