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Finding the Fourth Proportional to 4,091, 6,125.30 and 2,859.64

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Solution

The fourth proportional to 4,091, 6,125.30 and 2,859.64 is: 4,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091 : 6,125.30 = 2,859.64 : x
  2. Step 2: Convert to fraction form
    4,091/6,125.30 = 2,859.64/x
  3. Step 3: Cross multiply
    4,091x = 6,125.30 × 2,859.64
  4. Step 4: Simplify right side
    4,091x = 17,516,152.89
  5. Step 5: Solve for x
    x = 17,516,152.89/4,091
  6. Step 6: Final answer
    x = 4,281.63

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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.