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Finding the Fourth Proportional to 1,917.66, 2,875.84 and 929.90

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Solution

The fourth proportional to 1,917.66, 2,875.84 and 929.90 is: 1,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.66 : 2,875.84 = 929.90 : x
  2. Step 2: Convert to fraction form
    1,917.66/2,875.84 = 929.90/x
  3. Step 3: Cross multiply
    1,917.66x = 2,875.84 × 929.90
  4. Step 4: Simplify right side
    1,917.66x = 2,674,243.62
  5. Step 5: Solve for x
    x = 2,674,243.62/1,917.66
  6. Step 6: Final answer
    x = 1,394.53

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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.