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Finding the Fourth Proportional to 1,850.80, 2,776.20 and 924.98

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Solution

The fourth proportional to 1,850.80, 2,776.20 and 924.98 is: 1,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.80 : 2,776.20 = 924.98 : x
  2. Step 2: Convert to fraction form
    1,850.80/2,776.20 = 924.98/x
  3. Step 3: Cross multiply
    1,850.80x = 2,776.20 × 924.98
  4. Step 4: Simplify right side
    1,850.80x = 2,567,929.48
  5. Step 5: Solve for x
    x = 2,567,929.48/1,850.80
  6. Step 6: Final answer
    x = 1,387.47

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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.