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Finding the Fourth Proportional to 30,475.76, 45,712.16 and 7,986.56

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Solution

The fourth proportional to 30,475.76, 45,712.16 and 7,986.56 is: 11,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.76 : 45,712.16 = 7,986.56 : x
  2. Step 2: Convert to fraction form
    30,475.76/45,712.16 = 7,986.56/x
  3. Step 3: Cross multiply
    30,475.76x = 45,712.16 × 7,986.56
  4. Step 4: Simplify right side
    30,475.76x = 365,082,908.57
  5. Step 5: Solve for x
    x = 365,082,908.57/30,475.76
  6. Step 6: Final answer
    x = 11,979.45

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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.