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Finding the Fourth Proportional to 15,076.47, 20,807.97 and 14,412.06

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Solution

The fourth proportional to 15,076.47, 20,807.97 and 14,412.06 is: 19,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.47 : 20,807.97 = 14,412.06 : x
  2. Step 2: Convert to fraction form
    15,076.47/20,807.97 = 14,412.06/x
  3. Step 3: Cross multiply
    15,076.47x = 20,807.97 × 14,412.06
  4. Step 4: Simplify right side
    15,076.47x = 299,885,712.12
  5. Step 5: Solve for x
    x = 299,885,712.12/15,076.47
  6. Step 6: Final answer
    x = 19,890.98

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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.