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Finding the Fourth Proportional to 1,981.81, 2,970.91 and 826.93

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Solution

The fourth proportional to 1,981.81, 2,970.91 and 826.93 is: 1,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.81 : 2,970.91 = 826.93 : x
  2. Step 2: Convert to fraction form
    1,981.81/2,970.91 = 826.93/x
  3. Step 3: Cross multiply
    1,981.81x = 2,970.91 × 826.93
  4. Step 4: Simplify right side
    1,981.81x = 2,456,734.61
  5. Step 5: Solve for x
    x = 2,456,734.61/1,981.81
  6. Step 6: Final answer
    x = 1,239.64

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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.