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Finding the Fourth Proportional to 15,782.16, 21,779.52 and 8,709.12

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Solution

The fourth proportional to 15,782.16, 21,779.52 and 8,709.12 is: 12,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.16 : 21,779.52 = 8,709.12 : x
  2. Step 2: Convert to fraction form
    15,782.16/21,779.52 = 8,709.12/x
  3. Step 3: Cross multiply
    15,782.16x = 21,779.52 × 8,709.12
  4. Step 4: Simplify right side
    15,782.16x = 189,680,453.22
  5. Step 5: Solve for x
    x = 189,680,453.22/15,782.16
  6. Step 6: Final answer
    x = 12,018.66

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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.