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Finding the Fourth Proportional to 15,807.96, 21,813.84 and 8,734.50

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Solution

The fourth proportional to 15,807.96, 21,813.84 and 8,734.50 is: 12,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.96 : 21,813.84 = 8,734.50 : x
  2. Step 2: Convert to fraction form
    15,807.96/21,813.84 = 8,734.50/x
  3. Step 3: Cross multiply
    15,807.96x = 21,813.84 × 8,734.50
  4. Step 4: Simplify right side
    15,807.96x = 190,532,985.48
  5. Step 5: Solve for x
    x = 190,532,985.48/15,807.96
  6. Step 6: Final answer
    x = 12,052.98

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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.