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Finding the Fourth Proportional to 7,054.86, 9,735.90 and 3,988.47

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Solution

The fourth proportional to 7,054.86, 9,735.90 and 3,988.47 is: 5,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.86 : 9,735.90 = 3,988.47 : x
  2. Step 2: Convert to fraction form
    7,054.86/9,735.90 = 3,988.47/x
  3. Step 3: Cross multiply
    7,054.86x = 9,735.90 × 3,988.47
  4. Step 4: Simplify right side
    7,054.86x = 38,831,359.59
  5. Step 5: Solve for x
    x = 38,831,359.59/7,054.86
  6. Step 6: Final answer
    x = 5,504.20

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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.