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Finding the Fourth Proportional to 22,972, 31,696.40 and 13,537.12

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Solution

The fourth proportional to 22,972, 31,696.40 and 13,537.12 is: 18,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972 : 31,696.40 = 13,537.12 : x
  2. Step 2: Convert to fraction form
    22,972/31,696.40 = 13,537.12/x
  3. Step 3: Cross multiply
    22,972x = 31,696.40 × 13,537.12
  4. Step 4: Simplify right side
    22,972x = 429,077,970.37
  5. Step 5: Solve for x
    x = 429,077,970.37/22,972
  6. Step 6: Final answer
    x = 18,678.30

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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.