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Finding the Fourth Proportional to 2,103.07, 3,154.60 and 564.07

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Solution

The fourth proportional to 2,103.07, 3,154.60 and 564.07 is: 846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.07 : 3,154.60 = 564.07 : x
  2. Step 2: Convert to fraction form
    2,103.07/3,154.60 = 564.07/x
  3. Step 3: Cross multiply
    2,103.07x = 3,154.60 × 564.07
  4. Step 4: Simplify right side
    2,103.07x = 1,779,415.22
  5. Step 5: Solve for x
    x = 1,779,415.22/2,103.07
  6. Step 6: Final answer
    x = 846.10

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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.