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Finding the Fourth Proportional to 1,490.90, 2,031.08 and 1,490.90

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Solution

The fourth proportional to 1,490.90, 2,031.08 and 1,490.90 is: 2,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.90 : 2,031.08 = 1,490.90 : x
  2. Step 2: Convert to fraction form
    1,490.90/2,031.08 = 1,490.90/x
  3. Step 3: Cross multiply
    1,490.90x = 2,031.08 × 1,490.90
  4. Step 4: Simplify right side
    1,490.90x = 3,028,137.17
  5. Step 5: Solve for x
    x = 3,028,137.17/1,490.90
  6. Step 6: Final answer
    x = 2,031.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.