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Finding the Fourth Proportional to 1,924.31, 2,886.60 and 770.06

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Solution

The fourth proportional to 1,924.31, 2,886.60 and 770.06 is: 1,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.31 : 2,886.60 = 770.06 : x
  2. Step 2: Convert to fraction form
    1,924.31/2,886.60 = 770.06/x
  3. Step 3: Cross multiply
    1,924.31x = 2,886.60 × 770.06
  4. Step 4: Simplify right side
    1,924.31x = 2,222,865.30
  5. Step 5: Solve for x
    x = 2,222,865.30/1,924.31
  6. Step 6: Final answer
    x = 1,155.15

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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.