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Finding the Fourth Proportional to 30,709.40, 42,378.47 and 17,280.65

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Solution

The fourth proportional to 30,709.40, 42,378.47 and 17,280.65 is: 23,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.40 : 42,378.47 = 17,280.65 : x
  2. Step 2: Convert to fraction form
    30,709.40/42,378.47 = 17,280.65/x
  3. Step 3: Cross multiply
    30,709.40x = 42,378.47 × 17,280.65
  4. Step 4: Simplify right side
    30,709.40x = 732,327,209.31
  5. Step 5: Solve for x
    x = 732,327,209.31/30,709.40
  6. Step 6: Final answer
    x = 23,847.01

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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.