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Finding the Fourth Proportional to 9,710.78, 13,395.62 and 8,022.20

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Solution

The fourth proportional to 9,710.78, 13,395.62 and 8,022.20 is: 11,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.78 : 13,395.62 = 8,022.20 : x
  2. Step 2: Convert to fraction form
    9,710.78/13,395.62 = 8,022.20/x
  3. Step 3: Cross multiply
    9,710.78x = 13,395.62 × 8,022.20
  4. Step 4: Simplify right side
    9,710.78x = 107,462,289.22
  5. Step 5: Solve for x
    x = 107,462,289.22/9,710.78
  6. Step 6: Final answer
    x = 11,066.29

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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.