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Finding the Fourth Proportional to 15,783.21, 21,780.09 and 9,064.11

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Solution

The fourth proportional to 15,783.21, 21,780.09 and 9,064.11 is: 12,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.21 : 21,780.09 = 9,064.11 : x
  2. Step 2: Convert to fraction form
    15,783.21/21,780.09 = 9,064.11/x
  3. Step 3: Cross multiply
    15,783.21x = 21,780.09 × 9,064.11
  4. Step 4: Simplify right side
    15,783.21x = 197,417,131.57
  5. Step 5: Solve for x
    x = 197,417,131.57/15,783.21
  6. Step 6: Final answer
    x = 12,508.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.