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Finding the Fourth Proportional to 30,434.60, 45,656.81 and 9,374.64

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Solution

The fourth proportional to 30,434.60, 45,656.81 and 9,374.64 is: 14,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.60 : 45,656.81 = 9,374.64 : x
  2. Step 2: Convert to fraction form
    30,434.60/45,656.81 = 9,374.64/x
  3. Step 3: Cross multiply
    30,434.60x = 45,656.81 × 9,374.64
  4. Step 4: Simplify right side
    30,434.60x = 428,016,157.30
  5. Step 5: Solve for x
    x = 428,016,157.30/30,434.60
  6. Step 6: Final answer
    x = 14,063.47

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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.