Home / 5,127.02-7,691.62-1,664

Finding the Fourth Proportional to 5,127.02, 7,691.62 and 1,664

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Solution

The fourth proportional to 5,127.02, 7,691.62 and 1,664 is: 2,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.02 : 7,691.62 = 1,664 : x
  2. Step 2: Convert to fraction form
    5,127.02/7,691.62 = 1,664/x
  3. Step 3: Cross multiply
    5,127.02x = 7,691.62 × 1,664
  4. Step 4: Simplify right side
    5,127.02x = 12,798,855.68
  5. Step 5: Solve for x
    x = 12,798,855.68/5,127.02
  6. Step 6: Final answer
    x = 2,496.35

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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.