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Finding the Fourth Proportional to 30,921.76, 46,364.96 and 9,857.76

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Solution

The fourth proportional to 30,921.76, 46,364.96 and 9,857.76 is: 14,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.76 : 46,364.96 = 9,857.76 : x
  2. Step 2: Convert to fraction form
    30,921.76/46,364.96 = 9,857.76/x
  3. Step 3: Cross multiply
    30,921.76x = 46,364.96 × 9,857.76
  4. Step 4: Simplify right side
    30,921.76x = 457,054,648.09
  5. Step 5: Solve for x
    x = 457,054,648.09/30,921.76
  6. Step 6: Final answer
    x = 14,781.00

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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.