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Finding the Fourth Proportional to 7,365, 10,164.74 and 4,179.08

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Solution

The fourth proportional to 7,365, 10,164.74 and 4,179.08 is: 5,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365 : 10,164.74 = 4,179.08 : x
  2. Step 2: Convert to fraction form
    7,365/10,164.74 = 4,179.08/x
  3. Step 3: Cross multiply
    7,365x = 10,164.74 × 4,179.08
  4. Step 4: Simplify right side
    7,365x = 42,479,261.64
  5. Step 5: Solve for x
    x = 42,479,261.64/7,365
  6. Step 6: Final answer
    x = 5,767.72

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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.