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Finding the Fourth Proportional to 15,983, 22,058.18 and 9,611.68

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Solution

The fourth proportional to 15,983, 22,058.18 and 9,611.68 is: 13,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983 : 22,058.18 = 9,611.68 : x
  2. Step 2: Convert to fraction form
    15,983/22,058.18 = 9,611.68/x
  3. Step 3: Cross multiply
    15,983x = 22,058.18 × 9,611.68
  4. Step 4: Simplify right side
    15,983x = 212,016,167.54
  5. Step 5: Solve for x
    x = 212,016,167.54/15,983
  6. Step 6: Final answer
    x = 13,265.10

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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.