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Finding the Fourth Proportional to 35,455, 53,160.36 and 13,256.68

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Solution

The fourth proportional to 35,455, 53,160.36 and 13,256.68 is: 19,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,455 : 53,160.36 = 13,256.68 : x
  2. Step 2: Convert to fraction form
    35,455/53,160.36 = 13,256.68/x
  3. Step 3: Cross multiply
    35,455x = 53,160.36 × 13,256.68
  4. Step 4: Simplify right side
    35,455x = 704,729,881.20
  5. Step 5: Solve for x
    x = 704,729,881.20/35,455
  6. Step 6: Final answer
    x = 19,876.74

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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.