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Finding the Fourth Proportional to 2,752.77, 4,130.01 and 878.94

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Solution

The fourth proportional to 2,752.77, 4,130.01 and 878.94 is: 1,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.77 : 4,130.01 = 878.94 : x
  2. Step 2: Convert to fraction form
    2,752.77/4,130.01 = 878.94/x
  3. Step 3: Cross multiply
    2,752.77x = 4,130.01 × 878.94
  4. Step 4: Simplify right side
    2,752.77x = 3,630,030.99
  5. Step 5: Solve for x
    x = 3,630,030.99/2,752.77
  6. Step 6: Final answer
    x = 1,318.68

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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.