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Finding the Fourth Proportional to 6,989.60, 9,645.84 and 4,338.32

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Solution

The fourth proportional to 6,989.60, 9,645.84 and 4,338.32 is: 5,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.60 : 9,645.84 = 4,338.32 : x
  2. Step 2: Convert to fraction form
    6,989.60/9,645.84 = 4,338.32/x
  3. Step 3: Cross multiply
    6,989.60x = 9,645.84 × 4,338.32
  4. Step 4: Simplify right side
    6,989.60x = 41,846,740.59
  5. Step 5: Solve for x
    x = 41,846,740.59/6,989.60
  6. Step 6: Final answer
    x = 5,987.00

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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.