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Finding the Fourth Proportional to 30,724.61, 46,086.93 and 8,538.17

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Solution

The fourth proportional to 30,724.61, 46,086.93 and 8,538.17 is: 12,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.61 : 46,086.93 = 8,538.17 : x
  2. Step 2: Convert to fraction form
    30,724.61/46,086.93 = 8,538.17/x
  3. Step 3: Cross multiply
    30,724.61x = 46,086.93 × 8,538.17
  4. Step 4: Simplify right side
    30,724.61x = 393,497,812.68
  5. Step 5: Solve for x
    x = 393,497,812.68/30,724.61
  6. Step 6: Final answer
    x = 12,807.25

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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.