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Finding the Fourth Proportional to 2,950.16, 4,071.13 and 1,605.76

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Solution

The fourth proportional to 2,950.16, 4,071.13 and 1,605.76 is: 2,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.16 : 4,071.13 = 1,605.76 : x
  2. Step 2: Convert to fraction form
    2,950.16/4,071.13 = 1,605.76/x
  3. Step 3: Cross multiply
    2,950.16x = 4,071.13 × 1,605.76
  4. Step 4: Simplify right side
    2,950.16x = 6,537,243.52
  5. Step 5: Solve for x
    x = 6,537,243.52/2,950.16
  6. Step 6: Final answer
    x = 2,215.90

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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.