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Finding the Fourth Proportional to 3,132.51, 4,700.00 and 1,284.51

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Solution

The fourth proportional to 3,132.51, 4,700.00 and 1,284.51 is: 1,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.51 : 4,700.00 = 1,284.51 : x
  2. Step 2: Convert to fraction form
    3,132.51/4,700.00 = 1,284.51/x
  3. Step 3: Cross multiply
    3,132.51x = 4,700.00 × 1,284.51
  4. Step 4: Simplify right side
    3,132.51x = 6,037,190.58
  5. Step 5: Solve for x
    x = 6,037,190.58/3,132.51
  6. Step 6: Final answer
    x = 1,927.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.