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Finding the Fourth Proportional to 4,990.42, 7,471.14 and 2,904.06

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Solution

The fourth proportional to 4,990.42, 7,471.14 and 2,904.06 is: 4,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.42 : 7,471.14 = 2,904.06 : x
  2. Step 2: Convert to fraction form
    4,990.42/7,471.14 = 2,904.06/x
  3. Step 3: Cross multiply
    4,990.42x = 7,471.14 × 2,904.06
  4. Step 4: Simplify right side
    4,990.42x = 21,696,638.83
  5. Step 5: Solve for x
    x = 21,696,638.83/4,990.42
  6. Step 6: Final answer
    x = 4,347.66

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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.