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Finding the Fourth Proportional to 8,765.36, 13,145.16 and 2,920.40

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Solution

The fourth proportional to 8,765.36, 13,145.16 and 2,920.40 is: 4,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.36 : 13,145.16 = 2,920.40 : x
  2. Step 2: Convert to fraction form
    8,765.36/13,145.16 = 2,920.40/x
  3. Step 3: Cross multiply
    8,765.36x = 13,145.16 × 2,920.40
  4. Step 4: Simplify right side
    8,765.36x = 38,389,125.26
  5. Step 5: Solve for x
    x = 38,389,125.26/8,765.36
  6. Step 6: Final answer
    x = 4,379.64

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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.