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Finding the Fourth Proportional to 1,954.38, 2,931.93 and 656.76

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Solution

The fourth proportional to 1,954.38, 2,931.93 and 656.76 is: 985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.38 : 2,931.93 = 656.76 : x
  2. Step 2: Convert to fraction form
    1,954.38/2,931.93 = 656.76/x
  3. Step 3: Cross multiply
    1,954.38x = 2,931.93 × 656.76
  4. Step 4: Simplify right side
    1,954.38x = 1,925,574.35
  5. Step 5: Solve for x
    x = 1,925,574.35/1,954.38
  6. Step 6: Final answer
    x = 985.26

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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.