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Finding the Fourth Proportional to 35,431.50, 53,153.78 and 14,656.62

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Solution

The fourth proportional to 35,431.50, 53,153.78 and 14,656.62 is: 21,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,431.50 : 53,153.78 = 14,656.62 : x
  2. Step 2: Convert to fraction form
    35,431.50/53,153.78 = 14,656.62/x
  3. Step 3: Cross multiply
    35,431.50x = 53,153.78 × 14,656.62
  4. Step 4: Simplify right side
    35,431.50x = 779,054,755.02
  5. Step 5: Solve for x
    x = 779,054,755.02/35,431.50
  6. Step 6: Final answer
    x = 21,987.63

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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.