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Finding the Fourth Proportional to 10,395, 15,587.64 and 3,464.64

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Solution

The fourth proportional to 10,395, 15,587.64 and 3,464.64 is: 5,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395 : 15,587.64 = 3,464.64 : x
  2. Step 2: Convert to fraction form
    10,395/15,587.64 = 3,464.64/x
  3. Step 3: Cross multiply
    10,395x = 15,587.64 × 3,464.64
  4. Step 4: Simplify right side
    10,395x = 54,005,561.05
  5. Step 5: Solve for x
    x = 54,005,561.05/10,395
  6. Step 6: Final answer
    x = 5,195.34

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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.