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Finding the Fourth Proportional to 5,271.86, 7,904.28 and 1,808.30

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Solution

The fourth proportional to 5,271.86, 7,904.28 and 1,808.30 is: 2,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.86 : 7,904.28 = 1,808.30 : x
  2. Step 2: Convert to fraction form
    5,271.86/7,904.28 = 1,808.30/x
  3. Step 3: Cross multiply
    5,271.86x = 7,904.28 × 1,808.30
  4. Step 4: Simplify right side
    5,271.86x = 14,293,309.52
  5. Step 5: Solve for x
    x = 14,293,309.52/5,271.86
  6. Step 6: Final answer
    x = 2,711.25

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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.