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Finding the Fourth Proportional to 30,147.66, 45,223.65 and 7,960.82

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Solution

The fourth proportional to 30,147.66, 45,223.65 and 7,960.82 is: 11,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147.66 : 45,223.65 = 7,960.82 : x
  2. Step 2: Convert to fraction form
    30,147.66/45,223.65 = 7,960.82/x
  3. Step 3: Cross multiply
    30,147.66x = 45,223.65 × 7,960.82
  4. Step 4: Simplify right side
    30,147.66x = 360,017,111.27
  5. Step 5: Solve for x
    x = 360,017,111.27/30,147.66
  6. Step 6: Final answer
    x = 11,941.79

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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.