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Finding the Fourth Proportional to 5,146.23, 7,723.23 and 3,390.63

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Solution

The fourth proportional to 5,146.23, 7,723.23 and 3,390.63 is: 5,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.23 : 7,723.23 = 3,390.63 : x
  2. Step 2: Convert to fraction form
    5,146.23/7,723.23 = 3,390.63/x
  3. Step 3: Cross multiply
    5,146.23x = 7,723.23 × 3,390.63
  4. Step 4: Simplify right side
    5,146.23x = 26,186,615.33
  5. Step 5: Solve for x
    x = 26,186,615.33/5,146.23
  6. Step 6: Final answer
    x = 5,088.50

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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.