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Finding the Fourth Proportional to 1,295.41, 1,950.40 and 1,142.32

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Solution

The fourth proportional to 1,295.41, 1,950.40 and 1,142.32 is: 1,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.41 : 1,950.40 = 1,142.32 : x
  2. Step 2: Convert to fraction form
    1,295.41/1,950.40 = 1,142.32/x
  3. Step 3: Cross multiply
    1,295.41x = 1,950.40 × 1,142.32
  4. Step 4: Simplify right side
    1,295.41x = 2,227,980.93
  5. Step 5: Solve for x
    x = 2,227,980.93/1,295.41
  6. Step 6: Final answer
    x = 1,719.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.