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Finding the Fourth Proportional to 35,477.81, 53,187.85 and 13,278.74

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Solution

The fourth proportional to 35,477.81, 53,187.85 and 13,278.74 is: 19,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,477.81 : 53,187.85 = 13,278.74 : x
  2. Step 2: Convert to fraction form
    35,477.81/53,187.85 = 13,278.74/x
  3. Step 3: Cross multiply
    35,477.81x = 53,187.85 × 13,278.74
  4. Step 4: Simplify right side
    35,477.81x = 706,267,564.92
  5. Step 5: Solve for x
    x = 706,267,564.92/35,477.81
  6. Step 6: Final answer
    x = 19,907.31

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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.