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Finding the Fourth Proportional to 13,686.42, 18,887.24 and 7,398.78

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Solution

The fourth proportional to 13,686.42, 18,887.24 and 7,398.78 is: 10,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.42 : 18,887.24 = 7,398.78 : x
  2. Step 2: Convert to fraction form
    13,686.42/18,887.24 = 7,398.78/x
  3. Step 3: Cross multiply
    13,686.42x = 18,887.24 × 7,398.78
  4. Step 4: Simplify right side
    13,686.42x = 139,742,533.57
  5. Step 5: Solve for x
    x = 139,742,533.57/13,686.42
  6. Step 6: Final answer
    x = 10,210.31

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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.