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Finding the Fourth Proportional to 35,374.50, 48,823.74 and 20,277.28

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Solution

The fourth proportional to 35,374.50, 48,823.74 and 20,277.28 is: 27,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,374.50 : 48,823.74 = 20,277.28 : x
  2. Step 2: Convert to fraction form
    35,374.50/48,823.74 = 20,277.28/x
  3. Step 3: Cross multiply
    35,374.50x = 48,823.74 × 20,277.28
  4. Step 4: Simplify right side
    35,374.50x = 990,012,646.63
  5. Step 5: Solve for x
    x = 990,012,646.63/35,374.50
  6. Step 6: Final answer
    x = 27,986.62

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1.5x scale

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.