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Finding the Fourth Proportional to 21,048.32, 31,575.48 and 7,003.72

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Solution

The fourth proportional to 21,048.32, 31,575.48 and 7,003.72 is: 10,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.32 : 31,575.48 = 7,003.72 : x
  2. Step 2: Convert to fraction form
    21,048.32/31,575.48 = 7,003.72/x
  3. Step 3: Cross multiply
    21,048.32x = 31,575.48 × 7,003.72
  4. Step 4: Simplify right side
    21,048.32x = 221,145,820.79
  5. Step 5: Solve for x
    x = 221,145,820.79/21,048.32
  6. Step 6: Final answer
    x = 10,506.58

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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.