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Finding the Fourth Proportional to 13,516.53, 18,653.16 and 7,548.58

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Solution

The fourth proportional to 13,516.53, 18,653.16 and 7,548.58 is: 10,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.53 : 18,653.16 = 7,548.58 : x
  2. Step 2: Convert to fraction form
    13,516.53/18,653.16 = 7,548.58/x
  3. Step 3: Cross multiply
    13,516.53x = 18,653.16 × 7,548.58
  4. Step 4: Simplify right side
    13,516.53x = 140,804,870.51
  5. Step 5: Solve for x
    x = 140,804,870.51/13,516.53
  6. Step 6: Final answer
    x = 10,417.24

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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.