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Finding the Fourth Proportional to 22,889.50, 31,588 and 12,953.50

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Solution

The fourth proportional to 22,889.50, 31,588 and 12,953.50 is: 17,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,889.50 : 31,588 = 12,953.50 : x
  2. Step 2: Convert to fraction form
    22,889.50/31,588 = 12,953.50/x
  3. Step 3: Cross multiply
    22,889.50x = 31,588 × 12,953.50
  4. Step 4: Simplify right side
    22,889.50x = 409,175,158
  5. Step 5: Solve for x
    x = 409,175,158/22,889.50
  6. Step 6: Final answer
    x = 17,876.11

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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.