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Finding the Fourth Proportional to 1,917.50, 2,646.16 and 1,089.50

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Solution

The fourth proportional to 1,917.50, 2,646.16 and 1,089.50 is: 1,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.50 : 2,646.16 = 1,089.50 : x
  2. Step 2: Convert to fraction form
    1,917.50/2,646.16 = 1,089.50/x
  3. Step 3: Cross multiply
    1,917.50x = 2,646.16 × 1,089.50
  4. Step 4: Simplify right side
    1,917.50x = 2,882,991.32
  5. Step 5: Solve for x
    x = 2,882,991.32/1,917.50
  6. Step 6: Final answer
    x = 1,503.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.