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Finding the Fourth Proportional to 30,099.34, 45,148.38 and 7,914.16

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Solution

The fourth proportional to 30,099.34, 45,148.38 and 7,914.16 is: 11,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,099.34 : 45,148.38 = 7,914.16 : x
  2. Step 2: Convert to fraction form
    30,099.34/45,148.38 = 7,914.16/x
  3. Step 3: Cross multiply
    30,099.34x = 45,148.38 × 7,914.16
  4. Step 4: Simplify right side
    30,099.34x = 357,311,503.06
  5. Step 5: Solve for x
    x = 357,311,503.06/30,099.34
  6. Step 6: Final answer
    x = 11,871.07

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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.