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Finding the Fourth Proportional to 1,312.35, 1,809.25 and 1,031.50

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Solution

The fourth proportional to 1,312.35, 1,809.25 and 1,031.50 is: 1,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.35 : 1,809.25 = 1,031.50 : x
  2. Step 2: Convert to fraction form
    1,312.35/1,809.25 = 1,031.50/x
  3. Step 3: Cross multiply
    1,312.35x = 1,809.25 × 1,031.50
  4. Step 4: Simplify right side
    1,312.35x = 1,866,241.38
  5. Step 5: Solve for x
    x = 1,866,241.38/1,312.35
  6. Step 6: Final answer
    x = 1,422.06

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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.