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Finding the Fourth Proportional to 2,188.64, 3,024.28 and 1,663.76

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Solution

The fourth proportional to 2,188.64, 3,024.28 and 1,663.76 is: 2,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.64 : 3,024.28 = 1,663.76 : x
  2. Step 2: Convert to fraction form
    2,188.64/3,024.28 = 1,663.76/x
  3. Step 3: Cross multiply
    2,188.64x = 3,024.28 × 1,663.76
  4. Step 4: Simplify right side
    2,188.64x = 5,031,676.09
  5. Step 5: Solve for x
    x = 5,031,676.09/2,188.64
  6. Step 6: Final answer
    x = 2,299.00

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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.