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Finding the Fourth Proportional to 35,686.80, 49,248.18 and 19,771.50

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Solution

The fourth proportional to 35,686.80, 49,248.18 and 19,771.50 is: 27,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,686.80 : 49,248.18 = 19,771.50 : x
  2. Step 2: Convert to fraction form
    35,686.80/49,248.18 = 19,771.50/x
  3. Step 3: Cross multiply
    35,686.80x = 49,248.18 × 19,771.50
  4. Step 4: Simplify right side
    35,686.80x = 973,710,390.87
  5. Step 5: Solve for x
    x = 973,710,390.87/35,686.80
  6. Step 6: Final answer
    x = 27,284.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.