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Finding the Fourth Proportional to 30,646.05, 45,968.16 and 8,460.78

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Solution

The fourth proportional to 30,646.05, 45,968.16 and 8,460.78 is: 12,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.05 : 45,968.16 = 8,460.78 : x
  2. Step 2: Convert to fraction form
    30,646.05/45,968.16 = 8,460.78/x
  3. Step 3: Cross multiply
    30,646.05x = 45,968.16 × 8,460.78
  4. Step 4: Simplify right side
    30,646.05x = 388,926,488.76
  5. Step 5: Solve for x
    x = 388,926,488.76/30,646.05
  6. Step 6: Final answer
    x = 12,690.92

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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.