Home / 1,577.81-2,177.51-869.79

Finding the Fourth Proportional to 1,577.81, 2,177.51 and 869.79

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Solution

The fourth proportional to 1,577.81, 2,177.51 and 869.79 is: 1,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.81 : 2,177.51 = 869.79 : x
  2. Step 2: Convert to fraction form
    1,577.81/2,177.51 = 869.79/x
  3. Step 3: Cross multiply
    1,577.81x = 2,177.51 × 869.79
  4. Step 4: Simplify right side
    1,577.81x = 1,893,972.07
  5. Step 5: Solve for x
    x = 1,893,972.07/1,577.81
  6. Step 6: Final answer
    x = 1,200.38

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1.5x scale

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.