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Finding the Fourth Proportional to 2,103.76, 2,903.02 and 1,207.60

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Solution

The fourth proportional to 2,103.76, 2,903.02 and 1,207.60 is: 1,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.76 : 2,903.02 = 1,207.60 : x
  2. Step 2: Convert to fraction form
    2,103.76/2,903.02 = 1,207.60/x
  3. Step 3: Cross multiply
    2,103.76x = 2,903.02 × 1,207.60
  4. Step 4: Simplify right side
    2,103.76x = 3,505,686.95
  5. Step 5: Solve for x
    x = 3,505,686.95/2,103.76
  6. Step 6: Final answer
    x = 1,666.39

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1.5x scale

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.