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Finding the Fourth Proportional to 4,354.64, 6,534.64 and 1,889.48

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Solution

The fourth proportional to 4,354.64, 6,534.64 and 1,889.48 is: 2,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.64 : 6,534.64 = 1,889.48 : x
  2. Step 2: Convert to fraction form
    4,354.64/6,534.64 = 1,889.48/x
  3. Step 3: Cross multiply
    4,354.64x = 6,534.64 × 1,889.48
  4. Step 4: Simplify right side
    4,354.64x = 12,347,071.59
  5. Step 5: Solve for x
    x = 12,347,071.59/4,354.64
  6. Step 6: Final answer
    x = 2,835.38

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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.