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Finding the Fourth Proportional to 30,405.40, 45,613.14 and 10,678.84

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Solution

The fourth proportional to 30,405.40, 45,613.14 and 10,678.84 is: 16,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.40 : 45,613.14 = 10,678.84 : x
  2. Step 2: Convert to fraction form
    30,405.40/45,613.14 = 10,678.84/x
  3. Step 3: Cross multiply
    30,405.40x = 45,613.14 × 10,678.84
  4. Step 4: Simplify right side
    30,405.40x = 487,095,423.96
  5. Step 5: Solve for x
    x = 487,095,423.96/30,405.40
  6. Step 6: Final answer
    x = 16,020.03

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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.