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Finding the Fourth Proportional to 1,389.84, 1,916.38 and 1,305.08

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Solution

The fourth proportional to 1,389.84, 1,916.38 and 1,305.08 is: 1,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.84 : 1,916.38 = 1,305.08 : x
  2. Step 2: Convert to fraction form
    1,389.84/1,916.38 = 1,305.08/x
  3. Step 3: Cross multiply
    1,389.84x = 1,916.38 × 1,305.08
  4. Step 4: Simplify right side
    1,389.84x = 2,501,029.21
  5. Step 5: Solve for x
    x = 2,501,029.21/1,389.84
  6. Step 6: Final answer
    x = 1,799.51

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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.