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Finding the Fourth Proportional to 1,698.92, 2,341.80 and 1,278.64

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Solution

The fourth proportional to 1,698.92, 2,341.80 and 1,278.64 is: 1,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.92 : 2,341.80 = 1,278.64 : x
  2. Step 2: Convert to fraction form
    1,698.92/2,341.80 = 1,278.64/x
  3. Step 3: Cross multiply
    1,698.92x = 2,341.80 × 1,278.64
  4. Step 4: Simplify right side
    1,698.92x = 2,994,319.15
  5. Step 5: Solve for x
    x = 2,994,319.15/1,698.92
  6. Step 6: Final answer
    x = 1,762.48

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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.