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Finding the Fourth Proportional to 1,530.12, 2,106.12 and 1,278.68

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Solution

The fourth proportional to 1,530.12, 2,106.12 and 1,278.68 is: 1,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.12 : 2,106.12 = 1,278.68 : x
  2. Step 2: Convert to fraction form
    1,530.12/2,106.12 = 1,278.68/x
  3. Step 3: Cross multiply
    1,530.12x = 2,106.12 × 1,278.68
  4. Step 4: Simplify right side
    1,530.12x = 2,693,053.52
  5. Step 5: Solve for x
    x = 2,693,053.52/1,530.12
  6. Step 6: Final answer
    x = 1,760.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.