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Finding the Fourth Proportional to 6,756.54, 10,120.86 and 5,978.54

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Solution

The fourth proportional to 6,756.54, 10,120.86 and 5,978.54 is: 8,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.54 : 10,120.86 = 5,978.54 : x
  2. Step 2: Convert to fraction form
    6,756.54/10,120.86 = 5,978.54/x
  3. Step 3: Cross multiply
    6,756.54x = 10,120.86 × 5,978.54
  4. Step 4: Simplify right side
    6,756.54x = 60,507,966.34
  5. Step 5: Solve for x
    x = 60,507,966.34/6,756.54
  6. Step 6: Final answer
    x = 8,955.47

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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.