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Finding the Fourth Proportional to 15,844, 21,870.48 and 9,220

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Solution

The fourth proportional to 15,844, 21,870.48 and 9,220 is: 12,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844 : 21,870.48 = 9,220 : x
  2. Step 2: Convert to fraction form
    15,844/21,870.48 = 9,220/x
  3. Step 3: Cross multiply
    15,844x = 21,870.48 × 9,220
  4. Step 4: Simplify right side
    15,844x = 201,645,825.60
  5. Step 5: Solve for x
    x = 201,645,825.60/15,844
  6. Step 6: Final answer
    x = 12,726.95

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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.