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Finding the Fourth Proportional to 7,155, 10,732.86 and 2,538.36

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Solution

The fourth proportional to 7,155, 10,732.86 and 2,538.36 is: 3,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155 : 10,732.86 = 2,538.36 : x
  2. Step 2: Convert to fraction form
    7,155/10,732.86 = 2,538.36/x
  3. Step 3: Cross multiply
    7,155x = 10,732.86 × 2,538.36
  4. Step 4: Simplify right side
    7,155x = 27,243,862.51
  5. Step 5: Solve for x
    x = 27,243,862.51/7,155
  6. Step 6: Final answer
    x = 3,807.67

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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.