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Finding the Fourth Proportional to 30,851.88, 46,277.82 and 7,478.32

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Solution

The fourth proportional to 30,851.88, 46,277.82 and 7,478.32 is: 11,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.88 : 46,277.82 = 7,478.32 : x
  2. Step 2: Convert to fraction form
    30,851.88/46,277.82 = 7,478.32/x
  3. Step 3: Cross multiply
    30,851.88x = 46,277.82 × 7,478.32
  4. Step 4: Simplify right side
    30,851.88x = 346,080,346.86
  5. Step 5: Solve for x
    x = 346,080,346.86/30,851.88
  6. Step 6: Final answer
    x = 11,217.48

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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.