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Finding the Fourth Proportional to 7,087.04, 9,781.80 and 4,292

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Solution

The fourth proportional to 7,087.04, 9,781.80 and 4,292 is: 5,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.04 : 9,781.80 = 4,292 : x
  2. Step 2: Convert to fraction form
    7,087.04/9,781.80 = 4,292/x
  3. Step 3: Cross multiply
    7,087.04x = 9,781.80 × 4,292
  4. Step 4: Simplify right side
    7,087.04x = 41,983,485.60
  5. Step 5: Solve for x
    x = 41,983,485.60/7,087.04
  6. Step 6: Final answer
    x = 5,923.98

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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.