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Finding the Fourth Proportional to 30,856.40, 46,275 and 11,132.40

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Solution

The fourth proportional to 30,856.40, 46,275 and 11,132.40 is: 16,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.40 : 46,275 = 11,132.40 : x
  2. Step 2: Convert to fraction form
    30,856.40/46,275 = 11,132.40/x
  3. Step 3: Cross multiply
    30,856.40x = 46,275 × 11,132.40
  4. Step 4: Simplify right side
    30,856.40x = 515,151,810
  5. Step 5: Solve for x
    x = 515,151,810/30,856.40
  6. Step 6: Final answer
    x = 16,695.14

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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.