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Finding the Fourth Proportional to 2,950.72, 4,071.34 and 1,708

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Solution

The fourth proportional to 2,950.72, 4,071.34 and 1,708 is: 2,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.72 : 4,071.34 = 1,708 : x
  2. Step 2: Convert to fraction form
    2,950.72/4,071.34 = 1,708/x
  3. Step 3: Cross multiply
    2,950.72x = 4,071.34 × 1,708
  4. Step 4: Simplify right side
    2,950.72x = 6,953,848.72
  5. Step 5: Solve for x
    x = 6,953,848.72/2,950.72
  6. Step 6: Final answer
    x = 2,356.66

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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.