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Finding the Fourth Proportional to 30,698.64, 45,970.20 and 18,976.32

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Solution

The fourth proportional to 30,698.64, 45,970.20 and 18,976.32 is: 28,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.64 : 45,970.20 = 18,976.32 : x
  2. Step 2: Convert to fraction form
    30,698.64/45,970.20 = 18,976.32/x
  3. Step 3: Cross multiply
    30,698.64x = 45,970.20 × 18,976.32
  4. Step 4: Simplify right side
    30,698.64x = 872,345,225.66
  5. Step 5: Solve for x
    x = 872,345,225.66/30,698.64
  6. Step 6: Final answer
    x = 28,416.41

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1.5x scale

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.