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Finding the Fourth Proportional to 16,346, 22,559.40 and 9,722

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Solution

The fourth proportional to 16,346, 22,559.40 and 9,722 is: 13,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346 : 22,559.40 = 9,722 : x
  2. Step 2: Convert to fraction form
    16,346/22,559.40 = 9,722/x
  3. Step 3: Cross multiply
    16,346x = 22,559.40 × 9,722
  4. Step 4: Simplify right side
    16,346x = 219,322,486.80
  5. Step 5: Solve for x
    x = 219,322,486.80/16,346
  6. Step 6: Final answer
    x = 13,417.50

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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.