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Finding the Fourth Proportional to 21,001.80, 31,491.76 and 9,905.51

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Solution

The fourth proportional to 21,001.80, 31,491.76 and 9,905.51 is: 14,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,001.80 : 31,491.76 = 9,905.51 : x
  2. Step 2: Convert to fraction form
    21,001.80/31,491.76 = 9,905.51/x
  3. Step 3: Cross multiply
    21,001.80x = 31,491.76 × 9,905.51
  4. Step 4: Simplify right side
    21,001.80x = 311,941,786.14
  5. Step 5: Solve for x
    x = 311,941,786.14/21,001.80
  6. Step 6: Final answer
    x = 14,853.10

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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.