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Finding the Fourth Proportional to 30,393.70, 45,585.99 and 9,614.50

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Solution

The fourth proportional to 30,393.70, 45,585.99 and 9,614.50 is: 14,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,393.70 : 45,585.99 = 9,614.50 : x
  2. Step 2: Convert to fraction form
    30,393.70/45,585.99 = 9,614.50/x
  3. Step 3: Cross multiply
    30,393.70x = 45,585.99 × 9,614.50
  4. Step 4: Simplify right side
    30,393.70x = 438,286,500.86
  5. Step 5: Solve for x
    x = 438,286,500.86/30,393.70
  6. Step 6: Final answer
    x = 14,420.31

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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.