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Finding the Fourth Proportional to 2,360.76, 3,541.12 and 821.76

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Solution

The fourth proportional to 2,360.76, 3,541.12 and 821.76 is: 1,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.76 : 3,541.12 = 821.76 : x
  2. Step 2: Convert to fraction form
    2,360.76/3,541.12 = 821.76/x
  3. Step 3: Cross multiply
    2,360.76x = 3,541.12 × 821.76
  4. Step 4: Simplify right side
    2,360.76x = 2,909,950.77
  5. Step 5: Solve for x
    x = 2,909,950.77/2,360.76
  6. Step 6: Final answer
    x = 1,232.63

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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.