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Finding the Fourth Proportional to 30,152.55, 45,224.88 and 7,967.60

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Solution

The fourth proportional to 30,152.55, 45,224.88 and 7,967.60 is: 11,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.55 : 45,224.88 = 7,967.60 : x
  2. Step 2: Convert to fraction form
    30,152.55/45,224.88 = 7,967.60/x
  3. Step 3: Cross multiply
    30,152.55x = 45,224.88 × 7,967.60
  4. Step 4: Simplify right side
    30,152.55x = 360,333,527.76
  5. Step 5: Solve for x
    x = 360,333,527.76/30,152.55
  6. Step 6: Final answer
    x = 11,950.35

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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.