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Finding the Fourth Proportional to 1,788, 2,467.44 and 1,089.78

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Solution

The fourth proportional to 1,788, 2,467.44 and 1,089.78 is: 1,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788 : 2,467.44 = 1,089.78 : x
  2. Step 2: Convert to fraction form
    1,788/2,467.44 = 1,089.78/x
  3. Step 3: Cross multiply
    1,788x = 2,467.44 × 1,089.78
  4. Step 4: Simplify right side
    1,788x = 2,688,966.76
  5. Step 5: Solve for x
    x = 2,688,966.76/1,788
  6. Step 6: Final answer
    x = 1,503.90

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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.