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Finding the Fourth Proportional to 30,909.78, 46,364.16 and 9,849.53

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Solution

The fourth proportional to 30,909.78, 46,364.16 and 9,849.53 is: 14,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.78 : 46,364.16 = 9,849.53 : x
  2. Step 2: Convert to fraction form
    30,909.78/46,364.16 = 9,849.53/x
  3. Step 3: Cross multiply
    30,909.78x = 46,364.16 × 9,849.53
  4. Step 4: Simplify right side
    30,909.78x = 456,665,135.60
  5. Step 5: Solve for x
    x = 456,665,135.60/30,909.78
  6. Step 6: Final answer
    x = 14,774.13

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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.