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Finding the Fourth Proportional to 22,530.88, 31,094.95 and 12,971.11

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Solution

The fourth proportional to 22,530.88, 31,094.95 and 12,971.11 is: 17,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.88 : 31,094.95 = 12,971.11 : x
  2. Step 2: Convert to fraction form
    22,530.88/31,094.95 = 12,971.11/x
  3. Step 3: Cross multiply
    22,530.88x = 31,094.95 × 12,971.11
  4. Step 4: Simplify right side
    22,530.88x = 403,335,955.37
  5. Step 5: Solve for x
    x = 403,335,955.37/22,530.88
  6. Step 6: Final answer
    x = 17,901.47

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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.