Home / 1,693.29-2,336.63-947.12

Finding the Fourth Proportional to 1,693.29, 2,336.63 and 947.12

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Solution

The fourth proportional to 1,693.29, 2,336.63 and 947.12 is: 1,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.29 : 2,336.63 = 947.12 : x
  2. Step 2: Convert to fraction form
    1,693.29/2,336.63 = 947.12/x
  3. Step 3: Cross multiply
    1,693.29x = 2,336.63 × 947.12
  4. Step 4: Simplify right side
    1,693.29x = 2,213,066.08
  5. Step 5: Solve for x
    x = 2,213,066.08/1,693.29
  6. Step 6: Final answer
    x = 1,306.96

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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.