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Finding the Fourth Proportional to 28,360, 42,540 and 7,583.04

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Solution

The fourth proportional to 28,360, 42,540 and 7,583.04 is: 11,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,360 : 42,540 = 7,583.04 : x
  2. Step 2: Convert to fraction form
    28,360/42,540 = 7,583.04/x
  3. Step 3: Cross multiply
    28,360x = 42,540 × 7,583.04
  4. Step 4: Simplify right side
    28,360x = 322,582,521.60
  5. Step 5: Solve for x
    x = 322,582,521.60/28,360
  6. Step 6: Final answer
    x = 11,374.56

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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.