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Finding the Fourth Proportional to 1,856.25, 2,780.90 and 930.72

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Solution

The fourth proportional to 1,856.25, 2,780.90 and 930.72 is: 1,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.25 : 2,780.90 = 930.72 : x
  2. Step 2: Convert to fraction form
    1,856.25/2,780.90 = 930.72/x
  3. Step 3: Cross multiply
    1,856.25x = 2,780.90 × 930.72
  4. Step 4: Simplify right side
    1,856.25x = 2,588,248.51
  5. Step 5: Solve for x
    x = 2,588,248.51/1,856.25
  6. Step 6: Final answer
    x = 1,394.34

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1.5x scale

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.