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Finding the Fourth Proportional to 7,810.56, 11,720.16 and 4,349.76

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Solution

The fourth proportional to 7,810.56, 11,720.16 and 4,349.76 is: 6,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.56 : 11,720.16 = 4,349.76 : x
  2. Step 2: Convert to fraction form
    7,810.56/11,720.16 = 4,349.76/x
  3. Step 3: Cross multiply
    7,810.56x = 11,720.16 × 4,349.76
  4. Step 4: Simplify right side
    7,810.56x = 50,979,883.16
  5. Step 5: Solve for x
    x = 50,979,883.16/7,810.56
  6. Step 6: Final answer
    x = 6,527.05

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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.