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Finding the Fourth Proportional to 14,966.68, 20,653.89 and 8,160.67

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Solution

The fourth proportional to 14,966.68, 20,653.89 and 8,160.67 is: 11,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.68 : 20,653.89 = 8,160.67 : x
  2. Step 2: Convert to fraction form
    14,966.68/20,653.89 = 8,160.67/x
  3. Step 3: Cross multiply
    14,966.68x = 20,653.89 × 8,160.67
  4. Step 4: Simplify right side
    14,966.68x = 168,549,580.51
  5. Step 5: Solve for x
    x = 168,549,580.51/14,966.68
  6. Step 6: Final answer
    x = 11,261.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.