Home / 1,127.02-1,682.66-972.78

Finding the Fourth Proportional to 1,127.02, 1,682.66 and 972.78

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Solution

The fourth proportional to 1,127.02, 1,682.66 and 972.78 is: 1,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.02 : 1,682.66 = 972.78 : x
  2. Step 2: Convert to fraction form
    1,127.02/1,682.66 = 972.78/x
  3. Step 3: Cross multiply
    1,127.02x = 1,682.66 × 972.78
  4. Step 4: Simplify right side
    1,127.02x = 1,636,857.99
  5. Step 5: Solve for x
    x = 1,636,857.99/1,127.02
  6. Step 6: Final answer
    x = 1,452.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.