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Finding the Fourth Proportional to 1,312.95, 1,812.03 and 1,202.22

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Solution

The fourth proportional to 1,312.95, 1,812.03 and 1,202.22 is: 1,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.95 : 1,812.03 = 1,202.22 : x
  2. Step 2: Convert to fraction form
    1,312.95/1,812.03 = 1,202.22/x
  3. Step 3: Cross multiply
    1,312.95x = 1,812.03 × 1,202.22
  4. Step 4: Simplify right side
    1,312.95x = 2,178,458.71
  5. Step 5: Solve for x
    x = 2,178,458.71/1,312.95
  6. Step 6: Final answer
    x = 1,659.21

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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.