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Finding the Fourth Proportional to 1,275.33, 1,762.07 and 1,134.19

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Solution

The fourth proportional to 1,275.33, 1,762.07 and 1,134.19 is: 1,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.33 : 1,762.07 = 1,134.19 : x
  2. Step 2: Convert to fraction form
    1,275.33/1,762.07 = 1,134.19/x
  3. Step 3: Cross multiply
    1,275.33x = 1,762.07 × 1,134.19
  4. Step 4: Simplify right side
    1,275.33x = 1,998,530.04
  5. Step 5: Solve for x
    x = 1,998,530.04/1,275.33
  6. Step 6: Final answer
    x = 1,567.07

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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.