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Finding the Fourth Proportional to 7,477.84, 11,218 and 2,282.50

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Solution

The fourth proportional to 7,477.84, 11,218 and 2,282.50 is: 3,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.84 : 11,218 = 2,282.50 : x
  2. Step 2: Convert to fraction form
    7,477.84/11,218 = 2,282.50/x
  3. Step 3: Cross multiply
    7,477.84x = 11,218 × 2,282.50
  4. Step 4: Simplify right side
    7,477.84x = 25,605,085
  5. Step 5: Solve for x
    x = 25,605,085/7,477.84
  6. Step 6: Final answer
    x = 3,424.13

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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.