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Finding the Fourth Proportional to 30,648.68, 45,975.68 and 8,462.06

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Solution

The fourth proportional to 30,648.68, 45,975.68 and 8,462.06 is: 12,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.68 : 45,975.68 = 8,462.06 : x
  2. Step 2: Convert to fraction form
    30,648.68/45,975.68 = 8,462.06/x
  3. Step 3: Cross multiply
    30,648.68x = 45,975.68 × 8,462.06
  4. Step 4: Simplify right side
    30,648.68x = 389,048,962.70
  5. Step 5: Solve for x
    x = 389,048,962.70/30,648.68
  6. Step 6: Final answer
    x = 12,693.82

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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.