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Finding the Fourth Proportional to 1,486.14, 2,051.09 and 963.08

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Solution

The fourth proportional to 1,486.14, 2,051.09 and 963.08 is: 1,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.14 : 2,051.09 = 963.08 : x
  2. Step 2: Convert to fraction form
    1,486.14/2,051.09 = 963.08/x
  3. Step 3: Cross multiply
    1,486.14x = 2,051.09 × 963.08
  4. Step 4: Simplify right side
    1,486.14x = 1,975,363.76
  5. Step 5: Solve for x
    x = 1,975,363.76/1,486.14
  6. Step 6: Final answer
    x = 1,329.19

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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.