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Finding the Fourth Proportional to 22,985.84, 31,718.22 and 12,912

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Solution

The fourth proportional to 22,985.84, 31,718.22 and 12,912 is: 17,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.84 : 31,718.22 = 12,912 : x
  2. Step 2: Convert to fraction form
    22,985.84/31,718.22 = 12,912/x
  3. Step 3: Cross multiply
    22,985.84x = 31,718.22 × 12,912
  4. Step 4: Simplify right side
    22,985.84x = 409,545,656.64
  5. Step 5: Solve for x
    x = 409,545,656.64/22,985.84
  6. Step 6: Final answer
    x = 17,817.30

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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.