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Finding the Fourth Proportional to 14,830, 20,465.96 and 8,457.60

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Solution

The fourth proportional to 14,830, 20,465.96 and 8,457.60 is: 11,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830 : 20,465.96 = 8,457.60 : x
  2. Step 2: Convert to fraction form
    14,830/20,465.96 = 8,457.60/x
  3. Step 3: Cross multiply
    14,830x = 20,465.96 × 8,457.60
  4. Step 4: Simplify right side
    14,830x = 173,092,903.30
  5. Step 5: Solve for x
    x = 173,092,903.30/14,830
  6. Step 6: Final answer
    x = 11,671.81

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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.