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Finding the Fourth Proportional to 10,622.46, 15,865.74 and 9,620.31

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Solution

The fourth proportional to 10,622.46, 15,865.74 and 9,620.31 is: 14,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.46 : 15,865.74 = 9,620.31 : x
  2. Step 2: Convert to fraction form
    10,622.46/15,865.74 = 9,620.31/x
  3. Step 3: Cross multiply
    10,622.46x = 15,865.74 × 9,620.31
  4. Step 4: Simplify right side
    10,622.46x = 152,633,337.18
  5. Step 5: Solve for x
    x = 152,633,337.18/10,622.46
  6. Step 6: Final answer
    x = 14,368.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.