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Finding the Fourth Proportional to 23,054, 31,816.68 and 13,118

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Solution

The fourth proportional to 23,054, 31,816.68 and 13,118 is: 18,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054 : 31,816.68 = 13,118 : x
  2. Step 2: Convert to fraction form
    23,054/31,816.68 = 13,118/x
  3. Step 3: Cross multiply
    23,054x = 31,816.68 × 13,118
  4. Step 4: Simplify right side
    23,054x = 417,371,208.24
  5. Step 5: Solve for x
    x = 417,371,208.24/23,054
  6. Step 6: Final answer
    x = 18,104.07

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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.