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Finding the Fourth Proportional to 30,978.40, 46,467.60 and 10,199.20

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Solution

The fourth proportional to 30,978.40, 46,467.60 and 10,199.20 is: 15,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.40 : 46,467.60 = 10,199.20 : x
  2. Step 2: Convert to fraction form
    30,978.40/46,467.60 = 10,199.20/x
  3. Step 3: Cross multiply
    30,978.40x = 46,467.60 × 10,199.20
  4. Step 4: Simplify right side
    30,978.40x = 473,932,345.92
  5. Step 5: Solve for x
    x = 473,932,345.92/30,978.40
  6. Step 6: Final answer
    x = 15,298.80

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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.