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Finding the Fourth Proportional to 17,521, 26,281.52 and 5,209

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Solution

The fourth proportional to 17,521, 26,281.52 and 5,209 is: 7,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,521 : 26,281.52 = 5,209 : x
  2. Step 2: Convert to fraction form
    17,521/26,281.52 = 5,209/x
  3. Step 3: Cross multiply
    17,521x = 26,281.52 × 5,209
  4. Step 4: Simplify right side
    17,521x = 136,900,437.68
  5. Step 5: Solve for x
    x = 136,900,437.68/17,521
  6. Step 6: Final answer
    x = 7,813.51

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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.