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Finding the Fourth Proportional to 7,135.74, 9,850.02 and 6,388.36

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Solution

The fourth proportional to 7,135.74, 9,850.02 and 6,388.36 is: 8,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.74 : 9,850.02 = 6,388.36 : x
  2. Step 2: Convert to fraction form
    7,135.74/9,850.02 = 6,388.36/x
  3. Step 3: Cross multiply
    7,135.74x = 9,850.02 × 6,388.36
  4. Step 4: Simplify right side
    7,135.74x = 62,925,473.77
  5. Step 5: Solve for x
    x = 62,925,473.77/7,135.74
  6. Step 6: Final answer
    x = 8,818.35

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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.