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Finding the Fourth Proportional to 46,620, 69,941.84 and 13,788

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Solution

The fourth proportional to 46,620, 69,941.84 and 13,788 is: 20,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,620 : 69,941.84 = 13,788 : x
  2. Step 2: Convert to fraction form
    46,620/69,941.84 = 13,788/x
  3. Step 3: Cross multiply
    46,620x = 69,941.84 × 13,788
  4. Step 4: Simplify right side
    46,620x = 964,358,089.92
  5. Step 5: Solve for x
    x = 964,358,089.92/46,620
  6. Step 6: Final answer
    x = 20,685.50

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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.