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Finding the Fourth Proportional to 1,904.70, 2,625.35 and 1,275.01

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Solution

The fourth proportional to 1,904.70, 2,625.35 and 1,275.01 is: 1,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.70 : 2,625.35 = 1,275.01 : x
  2. Step 2: Convert to fraction form
    1,904.70/2,625.35 = 1,275.01/x
  3. Step 3: Cross multiply
    1,904.70x = 2,625.35 × 1,275.01
  4. Step 4: Simplify right side
    1,904.70x = 3,347,347.50
  5. Step 5: Solve for x
    x = 3,347,347.50/1,904.70
  6. Step 6: Final answer
    x = 1,757.41

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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.