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Finding the Fourth Proportional to 14,836.47, 20,477.67 and 9,176.70

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Solution

The fourth proportional to 14,836.47, 20,477.67 and 9,176.70 is: 12,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836.47 : 20,477.67 = 9,176.70 : x
  2. Step 2: Convert to fraction form
    14,836.47/20,477.67 = 9,176.70/x
  3. Step 3: Cross multiply
    14,836.47x = 20,477.67 × 9,176.70
  4. Step 4: Simplify right side
    14,836.47x = 187,917,434.29
  5. Step 5: Solve for x
    x = 187,917,434.29/14,836.47
  6. Step 6: Final answer
    x = 12,665.91

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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.