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Finding the Fourth Proportional to 35,878.95, 53,811.95 and 13,687.38

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Solution

The fourth proportional to 35,878.95, 53,811.95 and 13,687.38 is: 20,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,878.95 : 53,811.95 = 13,687.38 : x
  2. Step 2: Convert to fraction form
    35,878.95/53,811.95 = 13,687.38/x
  3. Step 3: Cross multiply
    35,878.95x = 53,811.95 × 13,687.38
  4. Step 4: Simplify right side
    35,878.95x = 736,544,539.75
  5. Step 5: Solve for x
    x = 736,544,539.75/35,878.95
  6. Step 6: Final answer
    x = 20,528.60

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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.