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Finding the Fourth Proportional to 30,646.55, 45,968.91 and 8,461.28

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Solution

The fourth proportional to 30,646.55, 45,968.91 and 8,461.28 is: 12,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.55 : 45,968.91 = 8,461.28 : x
  2. Step 2: Convert to fraction form
    30,646.55/45,968.91 = 8,461.28/x
  3. Step 3: Cross multiply
    30,646.55x = 45,968.91 × 8,461.28
  4. Step 4: Simplify right side
    30,646.55x = 388,955,818.80
  5. Step 5: Solve for x
    x = 388,955,818.80/30,646.55
  6. Step 6: Final answer
    x = 12,691.67

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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.