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Finding the Fourth Proportional to 13,155, 19,732.36 and 6,038.32

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Solution

The fourth proportional to 13,155, 19,732.36 and 6,038.32 is: 9,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,155 : 19,732.36 = 6,038.32 : x
  2. Step 2: Convert to fraction form
    13,155/19,732.36 = 6,038.32/x
  3. Step 3: Cross multiply
    13,155x = 19,732.36 × 6,038.32
  4. Step 4: Simplify right side
    13,155x = 119,150,304.04
  5. Step 5: Solve for x
    x = 119,150,304.04/13,155
  6. Step 6: Final answer
    x = 9,057.42

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1.5x scale

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.