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Finding the Fourth Proportional to 5,185.86, 7,780.02 and 1,488.00

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Solution

The fourth proportional to 5,185.86, 7,780.02 and 1,488.00 is: 2,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.86 : 7,780.02 = 1,488.00 : x
  2. Step 2: Convert to fraction form
    5,185.86/7,780.02 = 1,488.00/x
  3. Step 3: Cross multiply
    5,185.86x = 7,780.02 × 1,488.00
  4. Step 4: Simplify right side
    5,185.86x = 11,576,693.36
  5. Step 5: Solve for x
    x = 11,576,693.36/5,185.86
  6. Step 6: Final answer
    x = 2,232.36

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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.