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Finding the Fourth Proportional to 14,782.76, 20,400.18 and 8,495.12

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Solution

The fourth proportional to 14,782.76, 20,400.18 and 8,495.12 is: 11,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.76 : 20,400.18 = 8,495.12 : x
  2. Step 2: Convert to fraction form
    14,782.76/20,400.18 = 8,495.12/x
  3. Step 3: Cross multiply
    14,782.76x = 20,400.18 × 8,495.12
  4. Step 4: Simplify right side
    14,782.76x = 173,301,977.12
  5. Step 5: Solve for x
    x = 173,301,977.12/14,782.76
  6. Step 6: Final answer
    x = 11,723.25

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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.