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Finding the Fourth Proportional to 23,117.49, 31,901.89 and 12,506.89

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Solution

The fourth proportional to 23,117.49, 31,901.89 and 12,506.89 is: 17,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.49 : 31,901.89 = 12,506.89 : x
  2. Step 2: Convert to fraction form
    23,117.49/31,901.89 = 12,506.89/x
  3. Step 3: Cross multiply
    23,117.49x = 31,901.89 × 12,506.89
  4. Step 4: Simplify right side
    23,117.49x = 398,993,429.02
  5. Step 5: Solve for x
    x = 398,993,429.02/23,117.49
  6. Step 6: Final answer
    x = 17,259.38

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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.