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Finding the Fourth Proportional to 15,782.76, 21,780.36 and 8,709.03

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Solution

The fourth proportional to 15,782.76, 21,780.36 and 8,709.03 is: 12,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.76 : 21,780.36 = 8,709.03 : x
  2. Step 2: Convert to fraction form
    15,782.76/21,780.36 = 8,709.03/x
  3. Step 3: Cross multiply
    15,782.76x = 21,780.36 × 8,709.03
  4. Step 4: Simplify right side
    15,782.76x = 189,685,808.65
  5. Step 5: Solve for x
    x = 189,685,808.65/15,782.76
  6. Step 6: Final answer
    x = 12,018.54

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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.