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Finding the Fourth Proportional to 13,790.70, 19,023.15 and 10,009.48

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Solution

The fourth proportional to 13,790.70, 19,023.15 and 10,009.48 is: 13,807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.70 : 19,023.15 = 10,009.48 : x
  2. Step 2: Convert to fraction form
    13,790.70/19,023.15 = 10,009.48/x
  3. Step 3: Cross multiply
    13,790.70x = 19,023.15 × 10,009.48
  4. Step 4: Simplify right side
    13,790.70x = 190,411,839.46
  5. Step 5: Solve for x
    x = 190,411,839.46/13,790.70
  6. Step 6: Final answer
    x = 13,807.26

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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.