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Finding the Fourth Proportional to 7,955.76, 10,980 and 4,811.34

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Solution

The fourth proportional to 7,955.76, 10,980 and 4,811.34 is: 6,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.76 : 10,980 = 4,811.34 : x
  2. Step 2: Convert to fraction form
    7,955.76/10,980 = 4,811.34/x
  3. Step 3: Cross multiply
    7,955.76x = 10,980 × 4,811.34
  4. Step 4: Simplify right side
    7,955.76x = 52,828,513.20
  5. Step 5: Solve for x
    x = 52,828,513.20/7,955.76
  6. Step 6: Final answer
    x = 6,640.28

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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.