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Finding the Fourth Proportional to 1,409.60, 2,108.64 and 1,041.80

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Solution

The fourth proportional to 1,409.60, 2,108.64 and 1,041.80 is: 1,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.60 : 2,108.64 = 1,041.80 : x
  2. Step 2: Convert to fraction form
    1,409.60/2,108.64 = 1,041.80/x
  3. Step 3: Cross multiply
    1,409.60x = 2,108.64 × 1,041.80
  4. Step 4: Simplify right side
    1,409.60x = 2,196,781.15
  5. Step 5: Solve for x
    x = 2,196,781.15/1,409.60
  6. Step 6: Final answer
    x = 1,558.44

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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.