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Finding the Fourth Proportional to 2,389.19, 3,581.73 and 907.58

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Solution

The fourth proportional to 2,389.19, 3,581.73 and 907.58 is: 1,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.19 : 3,581.73 = 907.58 : x
  2. Step 2: Convert to fraction form
    2,389.19/3,581.73 = 907.58/x
  3. Step 3: Cross multiply
    2,389.19x = 3,581.73 × 907.58
  4. Step 4: Simplify right side
    2,389.19x = 3,250,688.60
  5. Step 5: Solve for x
    x = 3,250,688.60/2,389.19
  6. Step 6: Final answer
    x = 1,360.58

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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.