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Finding the Fourth Proportional to 9,478.77, 14,208.14 and 3,551.78

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Solution

The fourth proportional to 9,478.77, 14,208.14 and 3,551.78 is: 5,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.77 : 14,208.14 = 3,551.78 : x
  2. Step 2: Convert to fraction form
    9,478.77/14,208.14 = 3,551.78/x
  3. Step 3: Cross multiply
    9,478.77x = 14,208.14 × 3,551.78
  4. Step 4: Simplify right side
    9,478.77x = 50,464,231.89
  5. Step 5: Solve for x
    x = 50,464,231.89/9,478.77
  6. Step 6: Final answer
    x = 5,323.92

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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.