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Finding the Fourth Proportional to 15,784.16, 21,782.28 and 8,711.12

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Solution

The fourth proportional to 15,784.16, 21,782.28 and 8,711.12 is: 12,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.16 : 21,782.28 = 8,711.12 : x
  2. Step 2: Convert to fraction form
    15,784.16/21,782.28 = 8,711.12/x
  3. Step 3: Cross multiply
    15,784.16x = 21,782.28 × 8,711.12
  4. Step 4: Simplify right side
    15,784.16x = 189,748,054.95
  5. Step 5: Solve for x
    x = 189,748,054.95/15,784.16
  6. Step 6: Final answer
    x = 12,021.42

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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.