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Finding the Fourth Proportional to 1,290.02, 1,934.11 and 1,043.53

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Solution

The fourth proportional to 1,290.02, 1,934.11 and 1,043.53 is: 1,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.02 : 1,934.11 = 1,043.53 : x
  2. Step 2: Convert to fraction form
    1,290.02/1,934.11 = 1,043.53/x
  3. Step 3: Cross multiply
    1,290.02x = 1,934.11 × 1,043.53
  4. Step 4: Simplify right side
    1,290.02x = 2,018,294.36
  5. Step 5: Solve for x
    x = 2,018,294.36/1,290.02
  6. Step 6: Final answer
    x = 1,564.54

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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.