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Finding the Fourth Proportional to 1,507.53, 2,081.22 and 1,035.70

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Solution

The fourth proportional to 1,507.53, 2,081.22 and 1,035.70 is: 1,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.53 : 2,081.22 = 1,035.70 : x
  2. Step 2: Convert to fraction form
    1,507.53/2,081.22 = 1,035.70/x
  3. Step 3: Cross multiply
    1,507.53x = 2,081.22 × 1,035.70
  4. Step 4: Simplify right side
    1,507.53x = 2,155,519.55
  5. Step 5: Solve for x
    x = 2,155,519.55/1,507.53
  6. Step 6: Final answer
    x = 1,429.84

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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.