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Finding the Fourth Proportional to 1,931.54, 2,894.94 and 1,054.52

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Solution

The fourth proportional to 1,931.54, 2,894.94 and 1,054.52 is: 1,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.54 : 2,894.94 = 1,054.52 : x
  2. Step 2: Convert to fraction form
    1,931.54/2,894.94 = 1,054.52/x
  3. Step 3: Cross multiply
    1,931.54x = 2,894.94 × 1,054.52
  4. Step 4: Simplify right side
    1,931.54x = 3,052,772.13
  5. Step 5: Solve for x
    x = 3,052,772.13/1,931.54
  6. Step 6: Final answer
    x = 1,580.49

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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.