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Finding the Fourth Proportional to 2,138.64, 2,953.17 and 1,580.10

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Solution

The fourth proportional to 2,138.64, 2,953.17 and 1,580.10 is: 2,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.64 : 2,953.17 = 1,580.10 : x
  2. Step 2: Convert to fraction form
    2,138.64/2,953.17 = 1,580.10/x
  3. Step 3: Cross multiply
    2,138.64x = 2,953.17 × 1,580.10
  4. Step 4: Simplify right side
    2,138.64x = 4,666,303.92
  5. Step 5: Solve for x
    x = 4,666,303.92/2,138.64
  6. Step 6: Final answer
    x = 2,181.90

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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.