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Finding the Fourth Proportional to 12,852, 19,281.90 and 9,111.02

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Solution

The fourth proportional to 12,852, 19,281.90 and 9,111.02 is: 13,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852 : 19,281.90 = 9,111.02 : x
  2. Step 2: Convert to fraction form
    12,852/19,281.90 = 9,111.02/x
  3. Step 3: Cross multiply
    12,852x = 19,281.90 × 9,111.02
  4. Step 4: Simplify right side
    12,852x = 175,677,776.54
  5. Step 5: Solve for x
    x = 175,677,776.54/12,852
  6. Step 6: Final answer
    x = 13,669.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.