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Finding the Fourth Proportional to 30,990.47, 46,477.40 and 13,456.13

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Solution

The fourth proportional to 30,990.47, 46,477.40 and 13,456.13 is: 20,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.47 : 46,477.40 = 13,456.13 : x
  2. Step 2: Convert to fraction form
    30,990.47/46,477.40 = 13,456.13/x
  3. Step 3: Cross multiply
    30,990.47x = 46,477.40 × 13,456.13
  4. Step 4: Simplify right side
    30,990.47x = 625,405,636.79
  5. Step 5: Solve for x
    x = 625,405,636.79/30,990.47
  6. Step 6: Final answer
    x = 20,180.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.