Home / 1,566.50-2,162.14-977.22

Finding the Fourth Proportional to 1,566.50, 2,162.14 and 977.22

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Solution

The fourth proportional to 1,566.50, 2,162.14 and 977.22 is: 1,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.50 : 2,162.14 = 977.22 : x
  2. Step 2: Convert to fraction form
    1,566.50/2,162.14 = 977.22/x
  3. Step 3: Cross multiply
    1,566.50x = 2,162.14 × 977.22
  4. Step 4: Simplify right side
    1,566.50x = 2,112,886.45
  5. Step 5: Solve for x
    x = 2,112,886.45/1,566.50
  6. Step 6: Final answer
    x = 1,348.79

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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.