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Finding the Fourth Proportional to 1,621.86, 2,238.19 and 913.57

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Solution

The fourth proportional to 1,621.86, 2,238.19 and 913.57 is: 1,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.86 : 2,238.19 = 913.57 : x
  2. Step 2: Convert to fraction form
    1,621.86/2,238.19 = 913.57/x
  3. Step 3: Cross multiply
    1,621.86x = 2,238.19 × 913.57
  4. Step 4: Simplify right side
    1,621.86x = 2,044,740.50
  5. Step 5: Solve for x
    x = 2,044,740.50/1,621.86
  6. Step 6: Final answer
    x = 1,260.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.