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Finding the Fourth Proportional to 7,090.14, 9,788.28 and 6,342.30

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Solution

The fourth proportional to 7,090.14, 9,788.28 and 6,342.30 is: 8,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.14 : 9,788.28 = 6,342.30 : x
  2. Step 2: Convert to fraction form
    7,090.14/9,788.28 = 6,342.30/x
  3. Step 3: Cross multiply
    7,090.14x = 9,788.28 × 6,342.30
  4. Step 4: Simplify right side
    7,090.14x = 62,080,208.24
  5. Step 5: Solve for x
    x = 62,080,208.24/7,090.14
  6. Step 6: Final answer
    x = 8,755.85

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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.