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Finding the Fourth Proportional to 2,927.07, 4,393.70 and 2,860.96

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Solution

The fourth proportional to 2,927.07, 4,393.70 and 2,860.96 is: 4,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.07 : 4,393.70 = 2,860.96 : x
  2. Step 2: Convert to fraction form
    2,927.07/4,393.70 = 2,860.96/x
  3. Step 3: Cross multiply
    2,927.07x = 4,393.70 × 2,860.96
  4. Step 4: Simplify right side
    2,927.07x = 12,570,199.38
  5. Step 5: Solve for x
    x = 12,570,199.38/2,927.07
  6. Step 6: Final answer
    x = 4,294.47

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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.