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Finding the Fourth Proportional to 30,477.94, 45,716.90 and 20,014.06

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Solution

The fourth proportional to 30,477.94, 45,716.90 and 20,014.06 is: 30,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.94 : 45,716.90 = 20,014.06 : x
  2. Step 2: Convert to fraction form
    30,477.94/45,716.90 = 20,014.06/x
  3. Step 3: Cross multiply
    30,477.94x = 45,716.90 × 20,014.06
  4. Step 4: Simplify right side
    30,477.94x = 914,980,779.61
  5. Step 5: Solve for x
    x = 914,980,779.61/30,477.94
  6. Step 6: Final answer
    x = 30,021.08

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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.