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Finding the Fourth Proportional to 15,438.05, 21,291.82 and 9,465.51

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Solution

The fourth proportional to 15,438.05, 21,291.82 and 9,465.51 is: 13,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438.05 : 21,291.82 = 9,465.51 : x
  2. Step 2: Convert to fraction form
    15,438.05/21,291.82 = 9,465.51/x
  3. Step 3: Cross multiply
    15,438.05x = 21,291.82 × 9,465.51
  4. Step 4: Simplify right side
    15,438.05x = 201,537,935.13
  5. Step 5: Solve for x
    x = 201,537,935.13/15,438.05
  6. Step 6: Final answer
    x = 13,054.62

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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.