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Finding the Fourth Proportional to 6,412, 8,840.55 and 5,351.29

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Solution

The fourth proportional to 6,412, 8,840.55 and 5,351.29 is: 7,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412 : 8,840.55 = 5,351.29 : x
  2. Step 2: Convert to fraction form
    6,412/8,840.55 = 5,351.29/x
  3. Step 3: Cross multiply
    6,412x = 8,840.55 × 5,351.29
  4. Step 4: Simplify right side
    6,412x = 47,308,346.81
  5. Step 5: Solve for x
    x = 47,308,346.81/6,412
  6. Step 6: Final answer
    x = 7,378.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.