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Finding the Fourth Proportional to 3,303.76, 4,955.64 and 838.77

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Solution

The fourth proportional to 3,303.76, 4,955.64 and 838.77 is: 1,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.76 : 4,955.64 = 838.77 : x
  2. Step 2: Convert to fraction form
    3,303.76/4,955.64 = 838.77/x
  3. Step 3: Cross multiply
    3,303.76x = 4,955.64 × 838.77
  4. Step 4: Simplify right side
    3,303.76x = 4,156,642.16
  5. Step 5: Solve for x
    x = 4,156,642.16/3,303.76
  6. Step 6: Final answer
    x = 1,258.16

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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.