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Finding the Fourth Proportional to 6,570.56, 9,865.68 and 4,120.88

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Solution

The fourth proportional to 6,570.56, 9,865.68 and 4,120.88 is: 6,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.56 : 9,865.68 = 4,120.88 : x
  2. Step 2: Convert to fraction form
    6,570.56/9,865.68 = 4,120.88/x
  3. Step 3: Cross multiply
    6,570.56x = 9,865.68 × 4,120.88
  4. Step 4: Simplify right side
    6,570.56x = 40,655,283.40
  5. Step 5: Solve for x
    x = 40,655,283.40/6,570.56
  6. Step 6: Final answer
    x = 6,187.49

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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.