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Finding the Fourth Proportional to 15,779.16, 23,661.86 and 8,381.84

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Solution

The fourth proportional to 15,779.16, 23,661.86 and 8,381.84 is: 12,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779.16 : 23,661.86 = 8,381.84 : x
  2. Step 2: Convert to fraction form
    15,779.16/23,661.86 = 8,381.84/x
  3. Step 3: Cross multiply
    15,779.16x = 23,661.86 × 8,381.84
  4. Step 4: Simplify right side
    15,779.16x = 198,329,764.40
  5. Step 5: Solve for x
    x = 198,329,764.40/15,779.16
  6. Step 6: Final answer
    x = 12,569.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.