Home / 1,567.08-2,162.70-977.58

Finding the Fourth Proportional to 1,567.08, 2,162.70 and 977.58

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Solution

The fourth proportional to 1,567.08, 2,162.70 and 977.58 is: 1,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.08 : 2,162.70 = 977.58 : x
  2. Step 2: Convert to fraction form
    1,567.08/2,162.70 = 977.58/x
  3. Step 3: Cross multiply
    1,567.08x = 2,162.70 × 977.58
  4. Step 4: Simplify right side
    1,567.08x = 2,114,212.27
  5. Step 5: Solve for x
    x = 2,114,212.27/1,567.08
  6. Step 6: Final answer
    x = 1,349.14

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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.