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Finding the Fourth Proportional to 15,782.76, 21,779.64 and 8,708.76

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Solution

The fourth proportional to 15,782.76, 21,779.64 and 8,708.76 is: 12,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.76 : 21,779.64 = 8,708.76 : x
  2. Step 2: Convert to fraction form
    15,782.76/21,779.64 = 8,708.76/x
  3. Step 3: Cross multiply
    15,782.76x = 21,779.64 × 8,708.76
  4. Step 4: Simplify right side
    15,782.76x = 189,673,657.65
  5. Step 5: Solve for x
    x = 189,673,657.65/15,782.76
  6. Step 6: Final answer
    x = 12,017.77

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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.