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Finding the Fourth Proportional to 13,652.84, 20,484 and 8,421.68

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Solution

The fourth proportional to 13,652.84, 20,484 and 8,421.68 is: 12,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.84 : 20,484 = 8,421.68 : x
  2. Step 2: Convert to fraction form
    13,652.84/20,484 = 8,421.68/x
  3. Step 3: Cross multiply
    13,652.84x = 20,484 × 8,421.68
  4. Step 4: Simplify right side
    13,652.84x = 172,509,693.12
  5. Step 5: Solve for x
    x = 172,509,693.12/13,652.84
  6. Step 6: Final answer
    x = 12,635.44

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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.