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Finding the Fourth Proportional to 30,461.40, 45,690.90 and 9,684.12

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Solution

The fourth proportional to 30,461.40, 45,690.90 and 9,684.12 is: 14,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.40 : 45,690.90 = 9,684.12 : x
  2. Step 2: Convert to fraction form
    30,461.40/45,690.90 = 9,684.12/x
  3. Step 3: Cross multiply
    30,461.40x = 45,690.90 × 9,684.12
  4. Step 4: Simplify right side
    30,461.40x = 442,476,158.51
  5. Step 5: Solve for x
    x = 442,476,158.51/30,461.40
  6. Step 6: Final answer
    x = 14,525.80

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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.