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Finding the Fourth Proportional to 30,646.30, 45,968.53 and 8,461.03

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Solution

The fourth proportional to 30,646.30, 45,968.53 and 8,461.03 is: 12,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.30 : 45,968.53 = 8,461.03 : x
  2. Step 2: Convert to fraction form
    30,646.30/45,968.53 = 8,461.03/x
  3. Step 3: Cross multiply
    30,646.30x = 45,968.53 × 8,461.03
  4. Step 4: Simplify right side
    30,646.30x = 388,941,111.39
  5. Step 5: Solve for x
    x = 388,941,111.39/30,646.30
  6. Step 6: Final answer
    x = 12,691.29

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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.