Home / 1,567.24-2,349.64-917.21

Finding the Fourth Proportional to 1,567.24, 2,349.64 and 917.21

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Solution

The fourth proportional to 1,567.24, 2,349.64 and 917.21 is: 1,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.24 : 2,349.64 = 917.21 : x
  2. Step 2: Convert to fraction form
    1,567.24/2,349.64 = 917.21/x
  3. Step 3: Cross multiply
    1,567.24x = 2,349.64 × 917.21
  4. Step 4: Simplify right side
    1,567.24x = 2,155,113.30
  5. Step 5: Solve for x
    x = 2,155,113.30/1,567.24
  6. Step 6: Final answer
    x = 1,375.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.