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Finding the Fourth Proportional to 6,500.56, 9,724.08 and 5,406.40

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Solution

The fourth proportional to 6,500.56, 9,724.08 and 5,406.40 is: 8,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.56 : 9,724.08 = 5,406.40 : x
  2. Step 2: Convert to fraction form
    6,500.56/9,724.08 = 5,406.40/x
  3. Step 3: Cross multiply
    6,500.56x = 9,724.08 × 5,406.40
  4. Step 4: Simplify right side
    6,500.56x = 52,572,266.11
  5. Step 5: Solve for x
    x = 52,572,266.11/6,500.56
  6. Step 6: Final answer
    x = 8,087.34

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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.