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Finding the Fourth Proportional to 8,570, 12,836.77 and 5,056.22

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Solution

The fourth proportional to 8,570, 12,836.77 and 5,056.22 is: 7,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570 : 12,836.77 = 5,056.22 : x
  2. Step 2: Convert to fraction form
    8,570/12,836.77 = 5,056.22/x
  3. Step 3: Cross multiply
    8,570x = 12,836.77 × 5,056.22
  4. Step 4: Simplify right side
    8,570x = 64,905,533.21
  5. Step 5: Solve for x
    x = 64,905,533.21/8,570
  6. Step 6: Final answer
    x = 7,573.57

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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.