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Finding the Fourth Proportional to 14,116.47, 19,480.73 and 7,828.89

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Solution

The fourth proportional to 14,116.47, 19,480.73 and 7,828.89 is: 10,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.47 : 19,480.73 = 7,828.89 : x
  2. Step 2: Convert to fraction form
    14,116.47/19,480.73 = 7,828.89/x
  3. Step 3: Cross multiply
    14,116.47x = 19,480.73 × 7,828.89
  4. Step 4: Simplify right side
    14,116.47x = 152,512,492.29
  5. Step 5: Solve for x
    x = 152,512,492.29/14,116.47
  6. Step 6: Final answer
    x = 10,803.87

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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.