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Finding the Fourth Proportional to 1,954.24, 2,931.59 and 858.47

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Solution

The fourth proportional to 1,954.24, 2,931.59 and 858.47 is: 1,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.24 : 2,931.59 = 858.47 : x
  2. Step 2: Convert to fraction form
    1,954.24/2,931.59 = 858.47/x
  3. Step 3: Cross multiply
    1,954.24x = 2,931.59 × 858.47
  4. Step 4: Simplify right side
    1,954.24x = 2,516,682.07
  5. Step 5: Solve for x
    x = 2,516,682.07/1,954.24
  6. Step 6: Final answer
    x = 1,287.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.