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Finding the Fourth Proportional to 30,653.37, 45,978.71 and 10,931.63

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Solution

The fourth proportional to 30,653.37, 45,978.71 and 10,931.63 is: 16,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.37 : 45,978.71 = 10,931.63 : x
  2. Step 2: Convert to fraction form
    30,653.37/45,978.71 = 10,931.63/x
  3. Step 3: Cross multiply
    30,653.37x = 45,978.71 × 10,931.63
  4. Step 4: Simplify right side
    30,653.37x = 502,621,961.05
  5. Step 5: Solve for x
    x = 502,621,961.05/30,653.37
  6. Step 6: Final answer
    x = 16,396.96

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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.