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Finding the Fourth Proportional to 15,852.49, 21,874.89 and 9,477.81

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Solution

The fourth proportional to 15,852.49, 21,874.89 and 9,477.81 is: 13,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.49 : 21,874.89 = 9,477.81 : x
  2. Step 2: Convert to fraction form
    15,852.49/21,874.89 = 9,477.81/x
  3. Step 3: Cross multiply
    15,852.49x = 21,874.89 × 9,477.81
  4. Step 4: Simplify right side
    15,852.49x = 207,325,941.82
  5. Step 5: Solve for x
    x = 207,325,941.82/15,852.49
  6. Step 6: Final answer
    x = 13,078.45

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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.