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Finding the Fourth Proportional to 30,663.78, 46,002.30 and 9,314.75

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Solution

The fourth proportional to 30,663.78, 46,002.30 and 9,314.75 is: 13,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,663.78 : 46,002.30 = 9,314.75 : x
  2. Step 2: Convert to fraction form
    30,663.78/46,002.30 = 9,314.75/x
  3. Step 3: Cross multiply
    30,663.78x = 46,002.30 × 9,314.75
  4. Step 4: Simplify right side
    30,663.78x = 428,499,693.91
  5. Step 5: Solve for x
    x = 428,499,693.91/30,663.78
  6. Step 6: Final answer
    x = 13,974.13

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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.