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Finding the Fourth Proportional to 1,409.76, 2,103.36 and 1,226.88

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Solution

The fourth proportional to 1,409.76, 2,103.36 and 1,226.88 is: 1,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.76 : 2,103.36 = 1,226.88 : x
  2. Step 2: Convert to fraction form
    1,409.76/2,103.36 = 1,226.88/x
  3. Step 3: Cross multiply
    1,409.76x = 2,103.36 × 1,226.88
  4. Step 4: Simplify right side
    1,409.76x = 2,580,570.32
  5. Step 5: Solve for x
    x = 2,580,570.32/1,409.76
  6. Step 6: Final answer
    x = 1,830.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.