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Finding the Fourth Proportional to 18,499, 27,746.46 and 4,648

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Solution

The fourth proportional to 18,499, 27,746.46 and 4,648 is: 6,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,499 : 27,746.46 = 4,648 : x
  2. Step 2: Convert to fraction form
    18,499/27,746.46 = 4,648/x
  3. Step 3: Cross multiply
    18,499x = 27,746.46 × 4,648
  4. Step 4: Simplify right side
    18,499x = 128,965,546.08
  5. Step 5: Solve for x
    x = 128,965,546.08/18,499
  6. Step 6: Final answer
    x = 6,971.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.