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Finding the Fourth Proportional to 30,707.60, 46,046.28 and 9,928.40

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Solution

The fourth proportional to 30,707.60, 46,046.28 and 9,928.40 is: 14,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,707.60 : 46,046.28 = 9,928.40 : x
  2. Step 2: Convert to fraction form
    30,707.60/46,046.28 = 9,928.40/x
  3. Step 3: Cross multiply
    30,707.60x = 46,046.28 × 9,928.40
  4. Step 4: Simplify right side
    30,707.60x = 457,165,886.35
  5. Step 5: Solve for x
    x = 457,165,886.35/30,707.60
  6. Step 6: Final answer
    x = 14,887.71

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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.