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Finding the Fourth Proportional to 30,082.47, 45,125.18 and 7,895.89

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Solution

The fourth proportional to 30,082.47, 45,125.18 and 7,895.89 is: 11,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.47 : 45,125.18 = 7,895.89 : x
  2. Step 2: Convert to fraction form
    30,082.47/45,125.18 = 7,895.89/x
  3. Step 3: Cross multiply
    30,082.47x = 45,125.18 × 7,895.89
  4. Step 4: Simplify right side
    30,082.47x = 356,303,457.51
  5. Step 5: Solve for x
    x = 356,303,457.51/30,082.47
  6. Step 6: Final answer
    x = 11,844.22

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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.