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Finding the Fourth Proportional to 30,926, 46,390.76 and 9,864.56

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Solution

The fourth proportional to 30,926, 46,390.76 and 9,864.56 is: 14,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,926 : 46,390.76 = 9,864.56 : x
  2. Step 2: Convert to fraction form
    30,926/46,390.76 = 9,864.56/x
  3. Step 3: Cross multiply
    30,926x = 46,390.76 × 9,864.56
  4. Step 4: Simplify right side
    30,926x = 457,624,435.47
  5. Step 5: Solve for x
    x = 457,624,435.47/30,926
  6. Step 6: Final answer
    x = 14,797.40

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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.