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Finding the Fourth Proportional to 15,840, 21,859.20 and 9,216

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Solution

The fourth proportional to 15,840, 21,859.20 and 9,216 is: 12,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840 : 21,859.20 = 9,216 : x
  2. Step 2: Convert to fraction form
    15,840/21,859.20 = 9,216/x
  3. Step 3: Cross multiply
    15,840x = 21,859.20 × 9,216
  4. Step 4: Simplify right side
    15,840x = 201,454,387.20
  5. Step 5: Solve for x
    x = 201,454,387.20/15,840
  6. Step 6: Final answer
    x = 12,718.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.