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Finding the Fourth Proportional to 4,865, 7,297.52 and 1,217

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Solution

The fourth proportional to 4,865, 7,297.52 and 1,217 is: 1,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865 : 7,297.52 = 1,217 : x
  2. Step 2: Convert to fraction form
    4,865/7,297.52 = 1,217/x
  3. Step 3: Cross multiply
    4,865x = 7,297.52 × 1,217
  4. Step 4: Simplify right side
    4,865x = 8,881,081.84
  5. Step 5: Solve for x
    x = 8,881,081.84/4,865
  6. Step 6: Final answer
    x = 1,825.51

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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.