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Finding the Fourth Proportional to 1,693.71, 2,337.43 and 947.81

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Solution

The fourth proportional to 1,693.71, 2,337.43 and 947.81 is: 1,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.71 : 2,337.43 = 947.81 : x
  2. Step 2: Convert to fraction form
    1,693.71/2,337.43 = 947.81/x
  3. Step 3: Cross multiply
    1,693.71x = 2,337.43 × 947.81
  4. Step 4: Simplify right side
    1,693.71x = 2,215,450.73
  5. Step 5: Solve for x
    x = 2,215,450.73/1,693.71
  6. Step 6: Final answer
    x = 1,308.05

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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.