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Finding the Fourth Proportional to 1,386.64, 1,912.99 and 889.17

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Solution

The fourth proportional to 1,386.64, 1,912.99 and 889.17 is: 1,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.64 : 1,912.99 = 889.17 : x
  2. Step 2: Convert to fraction form
    1,386.64/1,912.99 = 889.17/x
  3. Step 3: Cross multiply
    1,386.64x = 1,912.99 × 889.17
  4. Step 4: Simplify right side
    1,386.64x = 1,700,973.32
  5. Step 5: Solve for x
    x = 1,700,973.32/1,386.64
  6. Step 6: Final answer
    x = 1,226.69

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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.