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Finding the Fourth Proportional to 10,368, 15,552 and 3,072

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Solution

The fourth proportional to 10,368, 15,552 and 3,072 is: 4,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368 : 15,552 = 3,072 : x
  2. Step 2: Convert to fraction form
    10,368/15,552 = 3,072/x
  3. Step 3: Cross multiply
    10,368x = 15,552 × 3,072
  4. Step 4: Simplify right side
    10,368x = 47,775,744
  5. Step 5: Solve for x
    x = 47,775,744/10,368
  6. Step 6: Final answer
    x = 4,608

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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.