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Finding the Fourth Proportional to 5,155.00, 7,728.71 and 1,642.99

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Solution

The fourth proportional to 5,155.00, 7,728.71 and 1,642.99 is: 2,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.00 : 7,728.71 = 1,642.99 : x
  2. Step 2: Convert to fraction form
    5,155.00/7,728.71 = 1,642.99/x
  3. Step 3: Cross multiply
    5,155.00x = 7,728.71 × 1,642.99
  4. Step 4: Simplify right side
    5,155.00x = 12,698,154.60
  5. Step 5: Solve for x
    x = 12,698,154.60/5,155.00
  6. Step 6: Final answer
    x = 2,463.27

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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.