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Finding the Fourth Proportional to 30,011.40, 45,017.10 and 7,825.50

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Solution

The fourth proportional to 30,011.40, 45,017.10 and 7,825.50 is: 11,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,011.40 : 45,017.10 = 7,825.50 : x
  2. Step 2: Convert to fraction form
    30,011.40/45,017.10 = 7,825.50/x
  3. Step 3: Cross multiply
    30,011.40x = 45,017.10 × 7,825.50
  4. Step 4: Simplify right side
    30,011.40x = 352,281,316.05
  5. Step 5: Solve for x
    x = 352,281,316.05/30,011.40
  6. Step 6: Final answer
    x = 11,738.25

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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.