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Finding the Fourth Proportional to 30,998.40, 46,497.60 and 9,938.40

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Solution

The fourth proportional to 30,998.40, 46,497.60 and 9,938.40 is: 14,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.40 : 46,497.60 = 9,938.40 : x
  2. Step 2: Convert to fraction form
    30,998.40/46,497.60 = 9,938.40/x
  3. Step 3: Cross multiply
    30,998.40x = 46,497.60 × 9,938.40
  4. Step 4: Simplify right side
    30,998.40x = 462,111,747.84
  5. Step 5: Solve for x
    x = 462,111,747.84/30,998.40
  6. Step 6: Final answer
    x = 14,907.60

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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.