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Finding the Fourth Proportional to 14,417.65, 19,892.96 and 8,128.81

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Solution

The fourth proportional to 14,417.65, 19,892.96 and 8,128.81 is: 11,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.65 : 19,892.96 = 8,128.81 : x
  2. Step 2: Convert to fraction form
    14,417.65/19,892.96 = 8,128.81/x
  3. Step 3: Cross multiply
    14,417.65x = 19,892.96 × 8,128.81
  4. Step 4: Simplify right side
    14,417.65x = 161,706,051.53
  5. Step 5: Solve for x
    x = 161,706,051.53/14,417.65
  6. Step 6: Final answer
    x = 11,215.84

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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.