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Finding the Fourth Proportional to 5,218.68, 7,828.04 and 1,521

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Solution

The fourth proportional to 5,218.68, 7,828.04 and 1,521 is: 2,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.68 : 7,828.04 = 1,521 : x
  2. Step 2: Convert to fraction form
    5,218.68/7,828.04 = 1,521/x
  3. Step 3: Cross multiply
    5,218.68x = 7,828.04 × 1,521
  4. Step 4: Simplify right side
    5,218.68x = 11,906,441.24
  5. Step 5: Solve for x
    x = 11,906,441.24/5,218.68
  6. Step 6: Final answer
    x = 2,281.50

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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.