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Finding the Fourth Proportional to 31,320, 46,980 and 9,432

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Solution

The fourth proportional to 31,320, 46,980 and 9,432 is: 14,148

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,320 : 46,980 = 9,432 : x
  2. Step 2: Convert to fraction form
    31,320/46,980 = 9,432/x
  3. Step 3: Cross multiply
    31,320x = 46,980 × 9,432
  4. Step 4: Simplify right side
    31,320x = 443,115,360
  5. Step 5: Solve for x
    x = 443,115,360/31,320
  6. Step 6: Final answer
    x = 14,148

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.