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Finding the Fourth Proportional to 5,776.68, 8,665.40 and 1,828.08

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Solution

The fourth proportional to 5,776.68, 8,665.40 and 1,828.08 is: 2,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.68 : 8,665.40 = 1,828.08 : x
  2. Step 2: Convert to fraction form
    5,776.68/8,665.40 = 1,828.08/x
  3. Step 3: Cross multiply
    5,776.68x = 8,665.40 × 1,828.08
  4. Step 4: Simplify right side
    5,776.68x = 15,841,056.96
  5. Step 5: Solve for x
    x = 15,841,056.96/5,776.68
  6. Step 6: Final answer
    x = 2,742.24

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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.