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Finding the Fourth Proportional to 35,477.87, 53,187.94 and 13,278.80

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Solution

The fourth proportional to 35,477.87, 53,187.94 and 13,278.80 is: 19,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,477.87 : 53,187.94 = 13,278.80 : x
  2. Step 2: Convert to fraction form
    35,477.87/53,187.94 = 13,278.80/x
  3. Step 3: Cross multiply
    35,477.87x = 53,187.94 × 13,278.80
  4. Step 4: Simplify right side
    35,477.87x = 706,272,167.24
  5. Step 5: Solve for x
    x = 706,272,167.24/35,477.87
  6. Step 6: Final answer
    x = 19,907.40

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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.