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Finding the Fourth Proportional to 21,047.48, 31,549.01 and 7,003.76

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Solution

The fourth proportional to 21,047.48, 31,549.01 and 7,003.76 is: 10,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.48 : 31,549.01 = 7,003.76 : x
  2. Step 2: Convert to fraction form
    21,047.48/31,549.01 = 7,003.76/x
  3. Step 3: Cross multiply
    21,047.48x = 31,549.01 × 7,003.76
  4. Step 4: Simplify right side
    21,047.48x = 220,961,501.51
  5. Step 5: Solve for x
    x = 220,961,501.51/21,047.48
  6. Step 6: Final answer
    x = 10,498.24

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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.