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Finding the Fourth Proportional to 7,359, 10,155.66 and 4,047

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Solution

The fourth proportional to 7,359, 10,155.66 and 4,047 is: 5,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,359 : 10,155.66 = 4,047 : x
  2. Step 2: Convert to fraction form
    7,359/10,155.66 = 4,047/x
  3. Step 3: Cross multiply
    7,359x = 10,155.66 × 4,047
  4. Step 4: Simplify right side
    7,359x = 41,099,956.02
  5. Step 5: Solve for x
    x = 41,099,956.02/7,359
  6. Step 6: Final answer
    x = 5,584.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.