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Finding the Fourth Proportional to 1,925.72, 2,888.94 and 693.08

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Solution

The fourth proportional to 1,925.72, 2,888.94 and 693.08 is: 1,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.72 : 2,888.94 = 693.08 : x
  2. Step 2: Convert to fraction form
    1,925.72/2,888.94 = 693.08/x
  3. Step 3: Cross multiply
    1,925.72x = 2,888.94 × 693.08
  4. Step 4: Simplify right side
    1,925.72x = 2,002,252.09
  5. Step 5: Solve for x
    x = 2,002,252.09/1,925.72
  6. Step 6: Final answer
    x = 1,039.74

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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.