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Finding the Fourth Proportional to 30,643.81, 45,978.48 and 15,856.05

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Solution

The fourth proportional to 30,643.81, 45,978.48 and 15,856.05 is: 23,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.81 : 45,978.48 = 15,856.05 : x
  2. Step 2: Convert to fraction form
    30,643.81/45,978.48 = 15,856.05/x
  3. Step 3: Cross multiply
    30,643.81x = 45,978.48 × 15,856.05
  4. Step 4: Simplify right side
    30,643.81x = 729,037,077.80
  5. Step 5: Solve for x
    x = 729,037,077.80/30,643.81
  6. Step 6: Final answer
    x = 23,790.68

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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.