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Finding the Fourth Proportional to 34,464, 51,696 and 9,840

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Solution

The fourth proportional to 34,464, 51,696 and 9,840 is: 14,760

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,464 : 51,696 = 9,840 : x
  2. Step 2: Convert to fraction form
    34,464/51,696 = 9,840/x
  3. Step 3: Cross multiply
    34,464x = 51,696 × 9,840
  4. Step 4: Simplify right side
    34,464x = 508,688,640
  5. Step 5: Solve for x
    x = 508,688,640/34,464
  6. Step 6: Final answer
    x = 14,760

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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.