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Finding the Fourth Proportional to 30,559.84, 45,830.16 and 11,838.58

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Solution

The fourth proportional to 30,559.84, 45,830.16 and 11,838.58 is: 17,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,559.84 : 45,830.16 = 11,838.58 : x
  2. Step 2: Convert to fraction form
    30,559.84/45,830.16 = 11,838.58/x
  3. Step 3: Cross multiply
    30,559.84x = 45,830.16 × 11,838.58
  4. Step 4: Simplify right side
    30,559.84x = 542,564,015.57
  5. Step 5: Solve for x
    x = 542,564,015.57/30,559.84
  6. Step 6: Final answer
    x = 17,754.15

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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.