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Finding the Fourth Proportional to 2,119.50, 2,925.54 and 1,490.22

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Solution

The fourth proportional to 2,119.50, 2,925.54 and 1,490.22 is: 2,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.50 : 2,925.54 = 1,490.22 : x
  2. Step 2: Convert to fraction form
    2,119.50/2,925.54 = 1,490.22/x
  3. Step 3: Cross multiply
    2,119.50x = 2,925.54 × 1,490.22
  4. Step 4: Simplify right side
    2,119.50x = 4,359,698.22
  5. Step 5: Solve for x
    x = 4,359,698.22/2,119.50
  6. Step 6: Final answer
    x = 2,056.95

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