Home / 1,580.65-2,181.72-917.36

Finding the Fourth Proportional to 1,580.65, 2,181.72 and 917.36

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Solution

The fourth proportional to 1,580.65, 2,181.72 and 917.36 is: 1,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.65 : 2,181.72 = 917.36 : x
  2. Step 2: Convert to fraction form
    1,580.65/2,181.72 = 917.36/x
  3. Step 3: Cross multiply
    1,580.65x = 2,181.72 × 917.36
  4. Step 4: Simplify right side
    1,580.65x = 2,001,428.11
  5. Step 5: Solve for x
    x = 2,001,428.11/1,580.65
  6. Step 6: Final answer
    x = 1,266.21

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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.