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Finding the Fourth Proportional to 6,610.87, 9,913.94 and 1,929.66

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Solution

The fourth proportional to 6,610.87, 9,913.94 and 1,929.66 is: 2,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.87 : 9,913.94 = 1,929.66 : x
  2. Step 2: Convert to fraction form
    6,610.87/9,913.94 = 1,929.66/x
  3. Step 3: Cross multiply
    6,610.87x = 9,913.94 × 1,929.66
  4. Step 4: Simplify right side
    6,610.87x = 19,130,533.46
  5. Step 5: Solve for x
    x = 19,130,533.46/6,610.87
  6. Step 6: Final answer
    x = 2,893.80

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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.