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Finding the Fourth Proportional to 46,322, 69,486.84 and 13,490

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Solution

The fourth proportional to 46,322, 69,486.84 and 13,490 is: 20,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,322 : 69,486.84 = 13,490 : x
  2. Step 2: Convert to fraction form
    46,322/69,486.84 = 13,490/x
  3. Step 3: Cross multiply
    46,322x = 69,486.84 × 13,490
  4. Step 4: Simplify right side
    46,322x = 937,377,471.60
  5. Step 5: Solve for x
    x = 937,377,471.60/46,322
  6. Step 6: Final answer
    x = 20,236.12

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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.