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Finding the Fourth Proportional to 15,843.66, 21,862.75 and 9,468.98

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Solution

The fourth proportional to 15,843.66, 21,862.75 and 9,468.98 is: 13,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.66 : 21,862.75 = 9,468.98 : x
  2. Step 2: Convert to fraction form
    15,843.66/21,862.75 = 9,468.98/x
  3. Step 3: Cross multiply
    15,843.66x = 21,862.75 × 9,468.98
  4. Step 4: Simplify right side
    15,843.66x = 207,017,942.50
  5. Step 5: Solve for x
    x = 207,017,942.50/15,843.66
  6. Step 6: Final answer
    x = 13,066.30

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1.5x scale

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.