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Finding the Fourth Proportional to 35,690.60, 49,254 and 19,776.80

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Solution

The fourth proportional to 35,690.60, 49,254 and 19,776.80 is: 27,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,690.60 : 49,254 = 19,776.80 : x
  2. Step 2: Convert to fraction form
    35,690.60/49,254 = 19,776.80/x
  3. Step 3: Cross multiply
    35,690.60x = 49,254 × 19,776.80
  4. Step 4: Simplify right side
    35,690.60x = 974,086,507.20
  5. Step 5: Solve for x
    x = 974,086,507.20/35,690.60
  6. Step 6: Final answer
    x = 27,292.52

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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.