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Finding the Fourth Proportional to 21,038.10, 31,557 and 5,243.02

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Solution

The fourth proportional to 21,038.10, 31,557 and 5,243.02 is: 7,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.10 : 31,557 = 5,243.02 : x
  2. Step 2: Convert to fraction form
    21,038.10/31,557 = 5,243.02/x
  3. Step 3: Cross multiply
    21,038.10x = 31,557 × 5,243.02
  4. Step 4: Simplify right side
    21,038.10x = 165,453,982.14
  5. Step 5: Solve for x
    x = 165,453,982.14/21,038.10
  6. Step 6: Final answer
    x = 7,864.49

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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.