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Finding the Fourth Proportional to 21,038.84, 31,553.94 and 7,890.68

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Solution

The fourth proportional to 21,038.84, 31,553.94 and 7,890.68 is: 11,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.84 : 31,553.94 = 7,890.68 : x
  2. Step 2: Convert to fraction form
    21,038.84/31,553.94 = 7,890.68/x
  3. Step 3: Cross multiply
    21,038.84x = 31,553.94 × 7,890.68
  4. Step 4: Simplify right side
    21,038.84x = 248,982,043.28
  5. Step 5: Solve for x
    x = 248,982,043.28/21,038.84
  6. Step 6: Final answer
    x = 11,834.40

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1.5x scale

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.