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Finding the Fourth Proportional to 7,365, 10,164.14 and 4,178.42

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Solution

The fourth proportional to 7,365, 10,164.14 and 4,178.42 is: 5,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365 : 10,164.14 = 4,178.42 : x
  2. Step 2: Convert to fraction form
    7,365/10,164.14 = 4,178.42/x
  3. Step 3: Cross multiply
    7,365x = 10,164.14 × 4,178.42
  4. Step 4: Simplify right side
    7,365x = 42,470,045.86
  5. Step 5: Solve for x
    x = 42,470,045.86/7,365
  6. Step 6: Final answer
    x = 5,766.47

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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.