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Finding the Fourth Proportional to 19,154, 28,732.68 and 5,303.12

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Solution

The fourth proportional to 19,154, 28,732.68 and 5,303.12 is: 7,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,154 : 28,732.68 = 5,303.12 : x
  2. Step 2: Convert to fraction form
    19,154/28,732.68 = 5,303.12/x
  3. Step 3: Cross multiply
    19,154x = 28,732.68 × 5,303.12
  4. Step 4: Simplify right side
    19,154x = 152,372,849.96
  5. Step 5: Solve for x
    x = 152,372,849.96/19,154
  6. Step 6: Final answer
    x = 7,955.15

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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.