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Finding the Fourth Proportional to 6,412.65, 9,602.57 and 5,680.01

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Solution

The fourth proportional to 6,412.65, 9,602.57 and 5,680.01 is: 8,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.65 : 9,602.57 = 5,680.01 : x
  2. Step 2: Convert to fraction form
    6,412.65/9,602.57 = 5,680.01/x
  3. Step 3: Cross multiply
    6,412.65x = 9,602.57 × 5,680.01
  4. Step 4: Simplify right side
    6,412.65x = 54,542,617.21
  5. Step 5: Solve for x
    x = 54,542,617.21/6,412.65
  6. Step 6: Final answer
    x = 8,505.47

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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.