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Finding the Fourth Proportional to 22,777.59, 31,431.65 and 12,706.67

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Solution

The fourth proportional to 22,777.59, 31,431.65 and 12,706.67 is: 17,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.59 : 31,431.65 = 12,706.67 : x
  2. Step 2: Convert to fraction form
    22,777.59/31,431.65 = 12,706.67/x
  3. Step 3: Cross multiply
    22,777.59x = 31,431.65 × 12,706.67
  4. Step 4: Simplify right side
    22,777.59x = 399,391,383.41
  5. Step 5: Solve for x
    x = 399,391,383.41/22,777.59
  6. Step 6: Final answer
    x = 17,534.40

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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.