Home / 1,567.45-2,160.88-977.59

Finding the Fourth Proportional to 1,567.45, 2,160.88 and 977.59

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Solution

The fourth proportional to 1,567.45, 2,160.88 and 977.59 is: 1,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.45 : 2,160.88 = 977.59 : x
  2. Step 2: Convert to fraction form
    1,567.45/2,160.88 = 977.59/x
  3. Step 3: Cross multiply
    1,567.45x = 2,160.88 × 977.59
  4. Step 4: Simplify right side
    1,567.45x = 2,112,454.68
  5. Step 5: Solve for x
    x = 2,112,454.68/1,567.45
  6. Step 6: Final answer
    x = 1,347.70

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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.