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Finding the Fourth Proportional to 10,395, 15,598.98 and 4,239

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Solution

The fourth proportional to 10,395, 15,598.98 and 4,239 is: 6,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395 : 15,598.98 = 4,239 : x
  2. Step 2: Convert to fraction form
    10,395/15,598.98 = 4,239/x
  3. Step 3: Cross multiply
    10,395x = 15,598.98 × 4,239
  4. Step 4: Simplify right side
    10,395x = 66,124,076.22
  5. Step 5: Solve for x
    x = 66,124,076.22/10,395
  6. Step 6: Final answer
    x = 6,361.14

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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.