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Finding the Fourth Proportional to 21,053.49, 31,557.99 and 7,009.77

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Solution

The fourth proportional to 21,053.49, 31,557.99 and 7,009.77 is: 10,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.49 : 31,557.99 = 7,009.77 : x
  2. Step 2: Convert to fraction form
    21,053.49/31,557.99 = 7,009.77/x
  3. Step 3: Cross multiply
    21,053.49x = 31,557.99 × 7,009.77
  4. Step 4: Simplify right side
    21,053.49x = 221,214,251.56
  5. Step 5: Solve for x
    x = 221,214,251.56/21,053.49
  6. Step 6: Final answer
    x = 10,507.25

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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.