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Finding the Fourth Proportional to 15,820.59, 23,734.49 and 8,421.15

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Solution

The fourth proportional to 15,820.59, 23,734.49 and 8,421.15 is: 12,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.59 : 23,734.49 = 8,421.15 : x
  2. Step 2: Convert to fraction form
    15,820.59/23,734.49 = 8,421.15/x
  3. Step 3: Cross multiply
    15,820.59x = 23,734.49 × 8,421.15
  4. Step 4: Simplify right side
    15,820.59x = 199,871,658.36
  5. Step 5: Solve for x
    x = 199,871,658.36/15,820.59
  6. Step 6: Final answer
    x = 12,633.64

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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.