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Finding the Fourth Proportional to 21,574.88, 32,366.01 and 9,889.10

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Solution

The fourth proportional to 21,574.88, 32,366.01 and 9,889.10 is: 14,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.88 : 32,366.01 = 9,889.10 : x
  2. Step 2: Convert to fraction form
    21,574.88/32,366.01 = 9,889.10/x
  3. Step 3: Cross multiply
    21,574.88x = 32,366.01 × 9,889.10
  4. Step 4: Simplify right side
    21,574.88x = 320,070,709.49
  5. Step 5: Solve for x
    x = 320,070,709.49/21,574.88
  6. Step 6: Final answer
    x = 14,835.34

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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.