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Finding the Fourth Proportional to 14,796.78, 20,420.17 and 8,509.16

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Solution

The fourth proportional to 14,796.78, 20,420.17 and 8,509.16 is: 11,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.78 : 20,420.17 = 8,509.16 : x
  2. Step 2: Convert to fraction form
    14,796.78/20,420.17 = 8,509.16/x
  3. Step 3: Cross multiply
    14,796.78x = 20,420.17 × 8,509.16
  4. Step 4: Simplify right side
    14,796.78x = 173,758,349.11
  5. Step 5: Solve for x
    x = 173,758,349.11/14,796.78
  6. Step 6: Final answer
    x = 11,742.98

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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.