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Finding the Fourth Proportional to 6,412.07, 9,621.42 and 4,851.60

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Solution

The fourth proportional to 6,412.07, 9,621.42 and 4,851.60 is: 7,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.07 : 9,621.42 = 4,851.60 : x
  2. Step 2: Convert to fraction form
    6,412.07/9,621.42 = 4,851.60/x
  3. Step 3: Cross multiply
    6,412.07x = 9,621.42 × 4,851.60
  4. Step 4: Simplify right side
    6,412.07x = 46,679,281.27
  5. Step 5: Solve for x
    x = 46,679,281.27/6,412.07
  6. Step 6: Final answer
    x = 7,279.91

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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.