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Finding the Fourth Proportional to 4,723.76, 7,085.64 and 2,123.66

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Solution

The fourth proportional to 4,723.76, 7,085.64 and 2,123.66 is: 3,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.76 : 7,085.64 = 2,123.66 : x
  2. Step 2: Convert to fraction form
    4,723.76/7,085.64 = 2,123.66/x
  3. Step 3: Cross multiply
    4,723.76x = 7,085.64 × 2,123.66
  4. Step 4: Simplify right side
    4,723.76x = 15,047,490.24
  5. Step 5: Solve for x
    x = 15,047,490.24/4,723.76
  6. Step 6: Final answer
    x = 3,185.49

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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.