Home / 1,426.02-2,138.85-452.13

Finding the Fourth Proportional to 1,426.02, 2,138.85 and 452.13

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Solution

The fourth proportional to 1,426.02, 2,138.85 and 452.13 is: 678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.02 : 2,138.85 = 452.13 : x
  2. Step 2: Convert to fraction form
    1,426.02/2,138.85 = 452.13/x
  3. Step 3: Cross multiply
    1,426.02x = 2,138.85 × 452.13
  4. Step 4: Simplify right side
    1,426.02x = 967,038.25
  5. Step 5: Solve for x
    x = 967,038.25/1,426.02
  6. Step 6: Final answer
    x = 678.14

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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.