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Finding the Fourth Proportional to 1,881.80, 2,823.15 and 907.10

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Solution

The fourth proportional to 1,881.80, 2,823.15 and 907.10 is: 1,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.80 : 2,823.15 = 907.10 : x
  2. Step 2: Convert to fraction form
    1,881.80/2,823.15 = 907.10/x
  3. Step 3: Cross multiply
    1,881.80x = 2,823.15 × 907.10
  4. Step 4: Simplify right side
    1,881.80x = 2,560,879.37
  5. Step 5: Solve for x
    x = 2,560,879.37/1,881.80
  6. Step 6: Final answer
    x = 1,360.87

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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.