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Finding the Fourth Proportional to 22,656.84, 31,264.16 and 13,230.87

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Solution

The fourth proportional to 22,656.84, 31,264.16 and 13,230.87 is: 18,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.84 : 31,264.16 = 13,230.87 : x
  2. Step 2: Convert to fraction form
    22,656.84/31,264.16 = 13,230.87/x
  3. Step 3: Cross multiply
    22,656.84x = 31,264.16 × 13,230.87
  4. Step 4: Simplify right side
    22,656.84x = 413,651,970.46
  5. Step 5: Solve for x
    x = 413,651,970.46/22,656.84
  6. Step 6: Final answer
    x = 18,257.27

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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.