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Finding the Fourth Proportional to 10,402, 15,603 and 4,164.82

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Solution

The fourth proportional to 10,402, 15,603 and 4,164.82 is: 6,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402 : 15,603 = 4,164.82 : x
  2. Step 2: Convert to fraction form
    10,402/15,603 = 4,164.82/x
  3. Step 3: Cross multiply
    10,402x = 15,603 × 4,164.82
  4. Step 4: Simplify right side
    10,402x = 64,983,686.46
  5. Step 5: Solve for x
    x = 64,983,686.46/10,402
  6. Step 6: Final answer
    x = 6,247.23

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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.