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Finding the Fourth Proportional to 11,433.98, 15,781.95 and 6,721.40

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Solution

The fourth proportional to 11,433.98, 15,781.95 and 6,721.40 is: 9,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.98 : 15,781.95 = 6,721.40 : x
  2. Step 2: Convert to fraction form
    11,433.98/15,781.95 = 6,721.40/x
  3. Step 3: Cross multiply
    11,433.98x = 15,781.95 × 6,721.40
  4. Step 4: Simplify right side
    11,433.98x = 106,076,719.82
  5. Step 5: Solve for x
    x = 106,076,719.82/11,433.98
  6. Step 6: Final answer
    x = 9,277.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.