Home / 1,369.02-1,889.14-809.52

Finding the Fourth Proportional to 1,369.02, 1,889.14 and 809.52

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Solution

The fourth proportional to 1,369.02, 1,889.14 and 809.52 is: 1,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.02 : 1,889.14 = 809.52 : x
  2. Step 2: Convert to fraction form
    1,369.02/1,889.14 = 809.52/x
  3. Step 3: Cross multiply
    1,369.02x = 1,889.14 × 809.52
  4. Step 4: Simplify right side
    1,369.02x = 1,529,296.61
  5. Step 5: Solve for x
    x = 1,529,296.61/1,369.02
  6. Step 6: Final answer
    x = 1,117.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.