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Finding the Fourth Proportional to 1,580.79, 2,181.60 and 882.17

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Solution

The fourth proportional to 1,580.79, 2,181.60 and 882.17 is: 1,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.79 : 2,181.60 = 882.17 : x
  2. Step 2: Convert to fraction form
    1,580.79/2,181.60 = 882.17/x
  3. Step 3: Cross multiply
    1,580.79x = 2,181.60 × 882.17
  4. Step 4: Simplify right side
    1,580.79x = 1,924,531.16
  5. Step 5: Solve for x
    x = 1,924,531.16/1,580.79
  6. Step 6: Final answer
    x = 1,217.45

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1.5x scale

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.