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Finding the Fourth Proportional to 10,240, 15,360 and 2,944

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Solution

The fourth proportional to 10,240, 15,360 and 2,944 is: 4,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240 : 15,360 = 2,944 : x
  2. Step 2: Convert to fraction form
    10,240/15,360 = 2,944/x
  3. Step 3: Cross multiply
    10,240x = 15,360 × 2,944
  4. Step 4: Simplify right side
    10,240x = 45,219,840
  5. Step 5: Solve for x
    x = 45,219,840/10,240
  6. Step 6: Final answer
    x = 4,416

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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.