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Finding the Fourth Proportional to 21,054.59, 31,585.13 and 7,009.80

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Solution

The fourth proportional to 21,054.59, 31,585.13 and 7,009.80 is: 10,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,054.59 : 31,585.13 = 7,009.80 : x
  2. Step 2: Convert to fraction form
    21,054.59/31,585.13 = 7,009.80/x
  3. Step 3: Cross multiply
    21,054.59x = 31,585.13 × 7,009.80
  4. Step 4: Simplify right side
    21,054.59x = 221,405,409.23
  5. Step 5: Solve for x
    x = 221,405,409.23/21,054.59
  6. Step 6: Final answer
    x = 10,515.78

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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.