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Finding the Fourth Proportional to 1,357.84, 1,872.07 and 1,339.48

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Solution

The fourth proportional to 1,357.84, 1,872.07 and 1,339.48 is: 1,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.84 : 1,872.07 = 1,339.48 : x
  2. Step 2: Convert to fraction form
    1,357.84/1,872.07 = 1,339.48/x
  3. Step 3: Cross multiply
    1,357.84x = 1,872.07 × 1,339.48
  4. Step 4: Simplify right side
    1,357.84x = 2,507,600.32
  5. Step 5: Solve for x
    x = 2,507,600.32/1,357.84
  6. Step 6: Final answer
    x = 1,846.76

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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.