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Finding the Fourth Proportional to 15,384.18, 23,078 and 4,855.70

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Solution

The fourth proportional to 15,384.18, 23,078 and 4,855.70 is: 7,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.18 : 23,078 = 4,855.70 : x
  2. Step 2: Convert to fraction form
    15,384.18/23,078 = 4,855.70/x
  3. Step 3: Cross multiply
    15,384.18x = 23,078 × 4,855.70
  4. Step 4: Simplify right side
    15,384.18x = 112,059,844.60
  5. Step 5: Solve for x
    x = 112,059,844.60/15,384.18
  6. Step 6: Final answer
    x = 7,284.10

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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.