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Finding the Fourth Proportional to 5,365.17, 8,038.95 and 5,160.14

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Solution

The fourth proportional to 5,365.17, 8,038.95 and 5,160.14 is: 7,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.17 : 8,038.95 = 5,160.14 : x
  2. Step 2: Convert to fraction form
    5,365.17/8,038.95 = 5,160.14/x
  3. Step 3: Cross multiply
    5,365.17x = 8,038.95 × 5,160.14
  4. Step 4: Simplify right side
    5,365.17x = 41,482,144.62
  5. Step 5: Solve for x
    x = 41,482,144.62/5,365.17
  6. Step 6: Final answer
    x = 7,731.74

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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.