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Finding the Fourth Proportional to 5,521, 8,281.74 and 1,625.74

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Solution

The fourth proportional to 5,521, 8,281.74 and 1,625.74 is: 2,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,521 : 8,281.74 = 1,625.74 : x
  2. Step 2: Convert to fraction form
    5,521/8,281.74 = 1,625.74/x
  3. Step 3: Cross multiply
    5,521x = 8,281.74 × 1,625.74
  4. Step 4: Simplify right side
    5,521x = 13,463,955.99
  5. Step 5: Solve for x
    x = 13,463,955.99/5,521
  6. Step 6: Final answer
    x = 2,438.68

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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.