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Finding the Fourth Proportional to 5,272.68, 7,904.16 and 1,807.50

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Solution

The fourth proportional to 5,272.68, 7,904.16 and 1,807.50 is: 2,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.68 : 7,904.16 = 1,807.50 : x
  2. Step 2: Convert to fraction form
    5,272.68/7,904.16 = 1,807.50/x
  3. Step 3: Cross multiply
    5,272.68x = 7,904.16 × 1,807.50
  4. Step 4: Simplify right side
    5,272.68x = 14,286,769.20
  5. Step 5: Solve for x
    x = 14,286,769.20/5,272.68
  6. Step 6: Final answer
    x = 2,709.58

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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.