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Finding the Fourth Proportional to 14,798.40, 20,420.64 and 8,509.56

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Solution

The fourth proportional to 14,798.40, 20,420.64 and 8,509.56 is: 11,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798.40 : 20,420.64 = 8,509.56 : x
  2. Step 2: Convert to fraction form
    14,798.40/20,420.64 = 8,509.56/x
  3. Step 3: Cross multiply
    14,798.40x = 20,420.64 × 8,509.56
  4. Step 4: Simplify right side
    14,798.40x = 173,770,661.32
  5. Step 5: Solve for x
    x = 173,770,661.32/14,798.40
  6. Step 6: Final answer
    x = 11,742.53

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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.