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Finding the Fourth Proportional to 43,242, 64,863 and 10,410

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Solution

The fourth proportional to 43,242, 64,863 and 10,410 is: 15,615

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,242 : 64,863 = 10,410 : x
  2. Step 2: Convert to fraction form
    43,242/64,863 = 10,410/x
  3. Step 3: Cross multiply
    43,242x = 64,863 × 10,410
  4. Step 4: Simplify right side
    43,242x = 675,223,830
  5. Step 5: Solve for x
    x = 675,223,830/43,242
  6. Step 6: Final answer
    x = 15,615

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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.