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Finding the Fourth Proportional to 10,398, 15,597.24 and 4,242

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Solution

The fourth proportional to 10,398, 15,597.24 and 4,242 is: 6,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398 : 15,597.24 = 4,242 : x
  2. Step 2: Convert to fraction form
    10,398/15,597.24 = 4,242/x
  3. Step 3: Cross multiply
    10,398x = 15,597.24 × 4,242
  4. Step 4: Simplify right side
    10,398x = 66,163,492.08
  5. Step 5: Solve for x
    x = 66,163,492.08/10,398
  6. Step 6: Final answer
    x = 6,363.10

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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.