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Finding the Fourth Proportional to 7,964, 10,989.80 and 4,427.08

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Solution

The fourth proportional to 7,964, 10,989.80 and 4,427.08 is: 6,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964 : 10,989.80 = 4,427.08 : x
  2. Step 2: Convert to fraction form
    7,964/10,989.80 = 4,427.08/x
  3. Step 3: Cross multiply
    7,964x = 10,989.80 × 4,427.08
  4. Step 4: Simplify right side
    7,964x = 48,652,723.78
  5. Step 5: Solve for x
    x = 48,652,723.78/7,964
  6. Step 6: Final answer
    x = 6,109.08

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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.