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Finding the Fourth Proportional to 2,070, 3,105.90 and 1,031.04

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Solution

The fourth proportional to 2,070, 3,105.90 and 1,031.04 is: 1,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070 : 3,105.90 = 1,031.04 : x
  2. Step 2: Convert to fraction form
    2,070/3,105.90 = 1,031.04/x
  3. Step 3: Cross multiply
    2,070x = 3,105.90 × 1,031.04
  4. Step 4: Simplify right side
    2,070x = 3,202,307.14
  5. Step 5: Solve for x
    x = 3,202,307.14/2,070
  6. Step 6: Final answer
    x = 1,547.01

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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.