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Finding the Fourth Proportional to 20,870.92, 31,308.54 and 7,021

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Solution

The fourth proportional to 20,870.92, 31,308.54 and 7,021 is: 10,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.92 : 31,308.54 = 7,021 : x
  2. Step 2: Convert to fraction form
    20,870.92/31,308.54 = 7,021/x
  3. Step 3: Cross multiply
    20,870.92x = 31,308.54 × 7,021
  4. Step 4: Simplify right side
    20,870.92x = 219,817,259.34
  5. Step 5: Solve for x
    x = 219,817,259.34/20,870.92
  6. Step 6: Final answer
    x = 10,532.23

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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.