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Finding the Fourth Proportional to 7,090.64, 9,780 and 5,202.80

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Solution

The fourth proportional to 7,090.64, 9,780 and 5,202.80 is: 7,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.64 : 9,780 = 5,202.80 : x
  2. Step 2: Convert to fraction form
    7,090.64/9,780 = 5,202.80/x
  3. Step 3: Cross multiply
    7,090.64x = 9,780 × 5,202.80
  4. Step 4: Simplify right side
    7,090.64x = 50,883,384
  5. Step 5: Solve for x
    x = 50,883,384/7,090.64
  6. Step 6: Final answer
    x = 7,176.13

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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.