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Finding the Fourth Proportional to 8,178.63, 12,256.20 and 4,661.34

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Solution

The fourth proportional to 8,178.63, 12,256.20 and 4,661.34 is: 6,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.63 : 12,256.20 = 4,661.34 : x
  2. Step 2: Convert to fraction form
    8,178.63/12,256.20 = 4,661.34/x
  3. Step 3: Cross multiply
    8,178.63x = 12,256.20 × 4,661.34
  4. Step 4: Simplify right side
    8,178.63x = 57,130,315.31
  5. Step 5: Solve for x
    x = 57,130,315.31/8,178.63
  6. Step 6: Final answer
    x = 6,985.32

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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.