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Finding the Fourth Proportional to 30,689.16, 45,996 and 15,889.62

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Solution

The fourth proportional to 30,689.16, 45,996 and 15,889.62 is: 23,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.16 : 45,996 = 15,889.62 : x
  2. Step 2: Convert to fraction form
    30,689.16/45,996 = 15,889.62/x
  3. Step 3: Cross multiply
    30,689.16x = 45,996 × 15,889.62
  4. Step 4: Simplify right side
    30,689.16x = 730,858,961.52
  5. Step 5: Solve for x
    x = 730,858,961.52/30,689.16
  6. Step 6: Final answer
    x = 23,814.89

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1.5x scale

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.