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Finding the Fourth Proportional to 21,006.64, 31,492.02 and 9,313.48

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Solution

The fourth proportional to 21,006.64, 31,492.02 and 9,313.48 is: 13,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.64 : 31,492.02 = 9,313.48 : x
  2. Step 2: Convert to fraction form
    21,006.64/31,492.02 = 9,313.48/x
  3. Step 3: Cross multiply
    21,006.64x = 31,492.02 × 9,313.48
  4. Step 4: Simplify right side
    21,006.64x = 293,300,298.43
  5. Step 5: Solve for x
    x = 293,300,298.43/21,006.64
  6. Step 6: Final answer
    x = 13,962.27

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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.