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Finding the Fourth Proportional to 7,106.88, 9,807.38 and 3,920.48

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Solution

The fourth proportional to 7,106.88, 9,807.38 and 3,920.48 is: 5,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.88 : 9,807.38 = 3,920.48 : x
  2. Step 2: Convert to fraction form
    7,106.88/9,807.38 = 3,920.48/x
  3. Step 3: Cross multiply
    7,106.88x = 9,807.38 × 3,920.48
  4. Step 4: Simplify right side
    7,106.88x = 38,449,642.06
  5. Step 5: Solve for x
    x = 38,449,642.06/7,106.88
  6. Step 6: Final answer
    x = 5,410.20

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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.