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Finding the Fourth Proportional to 2,898.47, 4,347.96 and 818.50

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Solution

The fourth proportional to 2,898.47, 4,347.96 and 818.50 is: 1,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.47 : 4,347.96 = 818.50 : x
  2. Step 2: Convert to fraction form
    2,898.47/4,347.96 = 818.50/x
  3. Step 3: Cross multiply
    2,898.47x = 4,347.96 × 818.50
  4. Step 4: Simplify right side
    2,898.47x = 3,558,794.39
  5. Step 5: Solve for x
    x = 3,558,794.39/2,898.47
  6. Step 6: Final answer
    x = 1,227.82

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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.