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Finding the Fourth Proportional to 35,421, 53,138.52 and 10,461.48

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Solution

The fourth proportional to 35,421, 53,138.52 and 10,461.48 is: 15,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,421 : 53,138.52 = 10,461.48 : x
  2. Step 2: Convert to fraction form
    35,421/53,138.52 = 10,461.48/x
  3. Step 3: Cross multiply
    35,421x = 53,138.52 × 10,461.48
  4. Step 4: Simplify right side
    35,421x = 555,907,564.21
  5. Step 5: Solve for x
    x = 555,907,564.21/35,421
  6. Step 6: Final answer
    x = 15,694.29

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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.