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Finding the Fourth Proportional to 5,124.10, 7,678.93 and 4,079.46

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Solution

The fourth proportional to 5,124.10, 7,678.93 and 4,079.46 is: 6,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.10 : 7,678.93 = 4,079.46 : x
  2. Step 2: Convert to fraction form
    5,124.10/7,678.93 = 4,079.46/x
  3. Step 3: Cross multiply
    5,124.10x = 7,678.93 × 4,079.46
  4. Step 4: Simplify right side
    5,124.10x = 31,325,887.78
  5. Step 5: Solve for x
    x = 31,325,887.78/5,124.10
  6. Step 6: Final answer
    x = 6,113.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.