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Finding the Fourth Proportional to 15,782.99, 21,779.28 and 9,409.10

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Solution

The fourth proportional to 15,782.99, 21,779.28 and 9,409.10 is: 12,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.99 : 21,779.28 = 9,409.10 : x
  2. Step 2: Convert to fraction form
    15,782.99/21,779.28 = 9,409.10/x
  3. Step 3: Cross multiply
    15,782.99x = 21,779.28 × 9,409.10
  4. Step 4: Simplify right side
    15,782.99x = 204,923,314.55
  5. Step 5: Solve for x
    x = 204,923,314.55/15,782.99
  6. Step 6: Final answer
    x = 12,983.81

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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.