Home / 1,566.95-2,161.42-977.37

Finding the Fourth Proportional to 1,566.95, 2,161.42 and 977.37

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Solution

The fourth proportional to 1,566.95, 2,161.42 and 977.37 is: 1,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.95 : 2,161.42 = 977.37 : x
  2. Step 2: Convert to fraction form
    1,566.95/2,161.42 = 977.37/x
  3. Step 3: Cross multiply
    1,566.95x = 2,161.42 × 977.37
  4. Step 4: Simplify right side
    1,566.95x = 2,112,496.52
  5. Step 5: Solve for x
    x = 2,112,496.52/1,566.95
  6. Step 6: Final answer
    x = 1,348.16

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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.