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Finding the Fourth Proportional to 10,415, 15,624.13 and 3,393.36

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Solution

The fourth proportional to 10,415, 15,624.13 and 3,393.36 is: 5,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415 : 15,624.13 = 3,393.36 : x
  2. Step 2: Convert to fraction form
    10,415/15,624.13 = 3,393.36/x
  3. Step 3: Cross multiply
    10,415x = 15,624.13 × 3,393.36
  4. Step 4: Simplify right side
    10,415x = 53,018,297.78
  5. Step 5: Solve for x
    x = 53,018,297.78/10,415
  6. Step 6: Final answer
    x = 5,090.57

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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.