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Finding the Fourth Proportional to 4,749.86, 7,124.77 and 1,287.11

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Solution

The fourth proportional to 4,749.86, 7,124.77 and 1,287.11 is: 1,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.86 : 7,124.77 = 1,287.11 : x
  2. Step 2: Convert to fraction form
    4,749.86/7,124.77 = 1,287.11/x
  3. Step 3: Cross multiply
    4,749.86x = 7,124.77 × 1,287.11
  4. Step 4: Simplify right side
    4,749.86x = 9,170,362.71
  5. Step 5: Solve for x
    x = 9,170,362.71/4,749.86
  6. Step 6: Final answer
    x = 1,930.66

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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.