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Finding the Fourth Proportional to 30,618.50, 45,949.62 and 15,047.06

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Solution

The fourth proportional to 30,618.50, 45,949.62 and 15,047.06 is: 22,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618.50 : 45,949.62 = 15,047.06 : x
  2. Step 2: Convert to fraction form
    30,618.50/45,949.62 = 15,047.06/x
  3. Step 3: Cross multiply
    30,618.50x = 45,949.62 × 15,047.06
  4. Step 4: Simplify right side
    30,618.50x = 691,406,689.12
  5. Step 5: Solve for x
    x = 691,406,689.12/30,618.50
  6. Step 6: Final answer
    x = 22,581.34

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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.