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Finding the Fourth Proportional to 30,901.96, 46,352.94 and 12,421

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Solution

The fourth proportional to 30,901.96, 46,352.94 and 12,421 is: 18,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.96 : 46,352.94 = 12,421 : x
  2. Step 2: Convert to fraction form
    30,901.96/46,352.94 = 12,421/x
  3. Step 3: Cross multiply
    30,901.96x = 46,352.94 × 12,421
  4. Step 4: Simplify right side
    30,901.96x = 575,749,867.74
  5. Step 5: Solve for x
    x = 575,749,867.74/30,901.96
  6. Step 6: Final answer
    x = 18,631.50

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1.5x scale

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.