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Finding the Fourth Proportional to 10,402, 14,359.08 and 7,418.32

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Solution

The fourth proportional to 10,402, 14,359.08 and 7,418.32 is: 10,240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402 : 14,359.08 = 7,418.32 : x
  2. Step 2: Convert to fraction form
    10,402/14,359.08 = 7,418.32/x
  3. Step 3: Cross multiply
    10,402x = 14,359.08 × 7,418.32
  4. Step 4: Simplify right side
    10,402x = 106,520,250.35
  5. Step 5: Solve for x
    x = 106,520,250.35/10,402
  6. Step 6: Final answer
    x = 10,240.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.