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Finding the Fourth Proportional to 30,454.72, 45,683.64 and 9,679.84

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Solution

The fourth proportional to 30,454.72, 45,683.64 and 9,679.84 is: 14,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454.72 : 45,683.64 = 9,679.84 : x
  2. Step 2: Convert to fraction form
    30,454.72/45,683.64 = 9,679.84/x
  3. Step 3: Cross multiply
    30,454.72x = 45,683.64 × 9,679.84
  4. Step 4: Simplify right side
    30,454.72x = 442,210,325.82
  5. Step 5: Solve for x
    x = 442,210,325.82/30,454.72
  6. Step 6: Final answer
    x = 14,520.26

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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.