Home / 1,424.51-2,137.17-500.16

Finding the Fourth Proportional to 1,424.51, 2,137.17 and 500.16

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Solution

The fourth proportional to 1,424.51, 2,137.17 and 500.16 is: 750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.51 : 2,137.17 = 500.16 : x
  2. Step 2: Convert to fraction form
    1,424.51/2,137.17 = 500.16/x
  3. Step 3: Cross multiply
    1,424.51x = 2,137.17 × 500.16
  4. Step 4: Simplify right side
    1,424.51x = 1,068,926.95
  5. Step 5: Solve for x
    x = 1,068,926.95/1,424.51
  6. Step 6: Final answer
    x = 750.38

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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.