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Finding the Fourth Proportional to 3,564.60, 5,347.02 and 1,099.40

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Solution

The fourth proportional to 3,564.60, 5,347.02 and 1,099.40 is: 1,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.60 : 5,347.02 = 1,099.40 : x
  2. Step 2: Convert to fraction form
    3,564.60/5,347.02 = 1,099.40/x
  3. Step 3: Cross multiply
    3,564.60x = 5,347.02 × 1,099.40
  4. Step 4: Simplify right side
    3,564.60x = 5,878,513.79
  5. Step 5: Solve for x
    x = 5,878,513.79/3,564.60
  6. Step 6: Final answer
    x = 1,649.14

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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.