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Finding the Fourth Proportional to 20,953.44, 31,435.08 and 9,270

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Solution

The fourth proportional to 20,953.44, 31,435.08 and 9,270 is: 13,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.44 : 31,435.08 = 9,270 : x
  2. Step 2: Convert to fraction form
    20,953.44/31,435.08 = 9,270/x
  3. Step 3: Cross multiply
    20,953.44x = 31,435.08 × 9,270
  4. Step 4: Simplify right side
    20,953.44x = 291,403,191.60
  5. Step 5: Solve for x
    x = 291,403,191.60/20,953.44
  6. Step 6: Final answer
    x = 13,907.18

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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.