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Finding the Fourth Proportional to 5,155.75, 7,728.95 and 1,866.52

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Solution

The fourth proportional to 5,155.75, 7,728.95 and 1,866.52 is: 2,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.75 : 7,728.95 = 1,866.52 : x
  2. Step 2: Convert to fraction form
    5,155.75/7,728.95 = 1,866.52/x
  3. Step 3: Cross multiply
    5,155.75x = 7,728.95 × 1,866.52
  4. Step 4: Simplify right side
    5,155.75x = 14,426,225.10
  5. Step 5: Solve for x
    x = 14,426,225.10/5,155.75
  6. Step 6: Final answer
    x = 2,798.09

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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.