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Finding the Fourth Proportional to 7,955.56, 10,978.80 and 4,811.77

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Solution

The fourth proportional to 7,955.56, 10,978.80 and 4,811.77 is: 6,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.56 : 10,978.80 = 4,811.77 : x
  2. Step 2: Convert to fraction form
    7,955.56/10,978.80 = 4,811.77/x
  3. Step 3: Cross multiply
    7,955.56x = 10,978.80 × 4,811.77
  4. Step 4: Simplify right side
    7,955.56x = 52,827,460.48
  5. Step 5: Solve for x
    x = 52,827,460.48/7,955.56
  6. Step 6: Final answer
    x = 6,640.32

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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.