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Finding the Fourth Proportional to 5,055.76, 6,973.78 and 3,617.47

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Solution

The fourth proportional to 5,055.76, 6,973.78 and 3,617.47 is: 4,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.76 : 6,973.78 = 3,617.47 : x
  2. Step 2: Convert to fraction form
    5,055.76/6,973.78 = 3,617.47/x
  3. Step 3: Cross multiply
    5,055.76x = 6,973.78 × 3,617.47
  4. Step 4: Simplify right side
    5,055.76x = 25,227,439.94
  5. Step 5: Solve for x
    x = 25,227,439.94/5,055.76
  6. Step 6: Final answer
    x = 4,989.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.