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Finding the Fourth Proportional to 1,386.02, 1,911.01 and 861.14

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Solution

The fourth proportional to 1,386.02, 1,911.01 and 861.14 is: 1,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.02 : 1,911.01 = 861.14 : x
  2. Step 2: Convert to fraction form
    1,386.02/1,911.01 = 861.14/x
  3. Step 3: Cross multiply
    1,386.02x = 1,911.01 × 861.14
  4. Step 4: Simplify right side
    1,386.02x = 1,645,649.78
  5. Step 5: Solve for x
    x = 1,645,649.78/1,386.02
  6. Step 6: Final answer
    x = 1,187.32

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1.5x scale

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.