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Finding the Fourth Proportional to 30,851.91, 46,277.86 and 7,478.34

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Solution

The fourth proportional to 30,851.91, 46,277.86 and 7,478.34 is: 11,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.91 : 46,277.86 = 7,478.34 : x
  2. Step 2: Convert to fraction form
    30,851.91/46,277.86 = 7,478.34/x
  3. Step 3: Cross multiply
    30,851.91x = 46,277.86 × 7,478.34
  4. Step 4: Simplify right side
    30,851.91x = 346,081,534.16
  5. Step 5: Solve for x
    x = 346,081,534.16/30,851.91
  6. Step 6: Final answer
    x = 11,217.51

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Similar ratio
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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.