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Finding the Fourth Proportional to 5,877.84, 8,109 and 3,890.64

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Solution

The fourth proportional to 5,877.84, 8,109 and 3,890.64 is: 5,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.84 : 8,109 = 3,890.64 : x
  2. Step 2: Convert to fraction form
    5,877.84/8,109 = 3,890.64/x
  3. Step 3: Cross multiply
    5,877.84x = 8,109 × 3,890.64
  4. Step 4: Simplify right side
    5,877.84x = 31,549,199.76
  5. Step 5: Solve for x
    x = 31,549,199.76/5,877.84
  6. Step 6: Final answer
    x = 5,367.48

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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.