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Finding the Fourth Proportional to 26,559.68, 39,840 and 6,838.64

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Solution

The fourth proportional to 26,559.68, 39,840 and 6,838.64 is: 10,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,559.68 : 39,840 = 6,838.64 : x
  2. Step 2: Convert to fraction form
    26,559.68/39,840 = 6,838.64/x
  3. Step 3: Cross multiply
    26,559.68x = 39,840 × 6,838.64
  4. Step 4: Simplify right side
    26,559.68x = 272,451,417.60
  5. Step 5: Solve for x
    x = 272,451,417.60/26,559.68
  6. Step 6: Final answer
    x = 10,258.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.