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Finding the Fourth Proportional to 14,744.64, 20,347.80 and 8,457

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Solution

The fourth proportional to 14,744.64, 20,347.80 and 8,457 is: 11,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.64 : 20,347.80 = 8,457 : x
  2. Step 2: Convert to fraction form
    14,744.64/20,347.80 = 8,457/x
  3. Step 3: Cross multiply
    14,744.64x = 20,347.80 × 8,457
  4. Step 4: Simplify right side
    14,744.64x = 172,081,344.60
  5. Step 5: Solve for x
    x = 172,081,344.60/14,744.64
  6. Step 6: Final answer
    x = 11,670.77

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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.