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Finding the Fourth Proportional to 30,980.86, 46,472.37 and 9,921.53

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Solution

The fourth proportional to 30,980.86, 46,472.37 and 9,921.53 is: 14,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.86 : 46,472.37 = 9,921.53 : x
  2. Step 2: Convert to fraction form
    30,980.86/46,472.37 = 9,921.53/x
  3. Step 3: Cross multiply
    30,980.86x = 46,472.37 × 9,921.53
  4. Step 4: Simplify right side
    30,980.86x = 461,077,129.31
  5. Step 5: Solve for x
    x = 461,077,129.31/30,980.86
  6. Step 6: Final answer
    x = 14,882.65

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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.