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Finding the Fourth Proportional to 46,440, 69,660 and 13,608

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Solution

The fourth proportional to 46,440, 69,660 and 13,608 is: 20,412

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,440 : 69,660 = 13,608 : x
  2. Step 2: Convert to fraction form
    46,440/69,660 = 13,608/x
  3. Step 3: Cross multiply
    46,440x = 69,660 × 13,608
  4. Step 4: Simplify right side
    46,440x = 947,933,280
  5. Step 5: Solve for x
    x = 947,933,280/46,440
  6. Step 6: Final answer
    x = 20,412

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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.