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Finding the Fourth Proportional to 28,185.56, 42,280.74 and 7,409

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Solution

The fourth proportional to 28,185.56, 42,280.74 and 7,409 is: 11,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,185.56 : 42,280.74 = 7,409 : x
  2. Step 2: Convert to fraction form
    28,185.56/42,280.74 = 7,409/x
  3. Step 3: Cross multiply
    28,185.56x = 42,280.74 × 7,409
  4. Step 4: Simplify right side
    28,185.56x = 313,258,002.66
  5. Step 5: Solve for x
    x = 313,258,002.66/28,185.56
  6. Step 6: Final answer
    x = 11,114.13

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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.