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Finding the Fourth Proportional to 7,805.04, 11,691.28 and 3,648.64

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Solution

The fourth proportional to 7,805.04, 11,691.28 and 3,648.64 is: 5,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.04 : 11,691.28 = 3,648.64 : x
  2. Step 2: Convert to fraction form
    7,805.04/11,691.28 = 3,648.64/x
  3. Step 3: Cross multiply
    7,805.04x = 11,691.28 × 3,648.64
  4. Step 4: Simplify right side
    7,805.04x = 42,657,271.86
  5. Step 5: Solve for x
    x = 42,657,271.86/7,805.04
  6. Step 6: Final answer
    x = 5,465.35

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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.