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Finding the Fourth Proportional to 22,658.90, 31,268.84 and 12,586.89

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Solution

The fourth proportional to 22,658.90, 31,268.84 and 12,586.89 is: 17,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.90 : 31,268.84 = 12,586.89 : x
  2. Step 2: Convert to fraction form
    22,658.90/31,268.84 = 12,586.89/x
  3. Step 3: Cross multiply
    22,658.90x = 31,268.84 × 12,586.89
  4. Step 4: Simplify right side
    22,658.90x = 393,577,449.51
  5. Step 5: Solve for x
    x = 393,577,449.51/22,658.90
  6. Step 6: Final answer
    x = 17,369.66

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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.