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Finding the Fourth Proportional to 4,784.95, 7,178.57 and 2,316.89

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Solution

The fourth proportional to 4,784.95, 7,178.57 and 2,316.89 is: 3,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.95 : 7,178.57 = 2,316.89 : x
  2. Step 2: Convert to fraction form
    4,784.95/7,178.57 = 2,316.89/x
  3. Step 3: Cross multiply
    4,784.95x = 7,178.57 × 2,316.89
  4. Step 4: Simplify right side
    4,784.95x = 16,631,944.75
  5. Step 5: Solve for x
    x = 16,631,944.75/4,784.95
  6. Step 6: Final answer
    x = 3,475.89

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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.