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Finding the Fourth Proportional to 8,549.12, 12,820.80 and 4,384.64

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Solution

The fourth proportional to 8,549.12, 12,820.80 and 4,384.64 is: 6,575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.12 : 12,820.80 = 4,384.64 : x
  2. Step 2: Convert to fraction form
    8,549.12/12,820.80 = 4,384.64/x
  3. Step 3: Cross multiply
    8,549.12x = 12,820.80 × 4,384.64
  4. Step 4: Simplify right side
    8,549.12x = 56,214,592.51
  5. Step 5: Solve for x
    x = 56,214,592.51/8,549.12
  6. Step 6: Final answer
    x = 6,575.48

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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.