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Finding the Fourth Proportional to 30,462.34, 45,700.72 and 9,685.84

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Solution

The fourth proportional to 30,462.34, 45,700.72 and 9,685.84 is: 14,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.34 : 45,700.72 = 9,685.84 : x
  2. Step 2: Convert to fraction form
    30,462.34/45,700.72 = 9,685.84/x
  3. Step 3: Cross multiply
    30,462.34x = 45,700.72 × 9,685.84
  4. Step 4: Simplify right side
    30,462.34x = 442,649,861.80
  5. Step 5: Solve for x
    x = 442,649,861.80/30,462.34
  6. Step 6: Final answer
    x = 14,531.05

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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.