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Finding the Fourth Proportional to 2,393.26, 3,588.47 and 930.70

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Solution

The fourth proportional to 2,393.26, 3,588.47 and 930.70 is: 1,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.26 : 3,588.47 = 930.70 : x
  2. Step 2: Convert to fraction form
    2,393.26/3,588.47 = 930.70/x
  3. Step 3: Cross multiply
    2,393.26x = 3,588.47 × 930.70
  4. Step 4: Simplify right side
    2,393.26x = 3,339,792.35
  5. Step 5: Solve for x
    x = 3,339,792.35/2,393.26
  6. Step 6: Final answer
    x = 1,395.50

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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.