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Finding the Fourth Proportional to 30,743.04, 46,127.34 and 12,978.12

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Solution

The fourth proportional to 30,743.04, 46,127.34 and 12,978.12 is: 19,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,743.04 : 46,127.34 = 12,978.12 : x
  2. Step 2: Convert to fraction form
    30,743.04/46,127.34 = 12,978.12/x
  3. Step 3: Cross multiply
    30,743.04x = 46,127.34 × 12,978.12
  4. Step 4: Simplify right side
    30,743.04x = 598,646,153.80
  5. Step 5: Solve for x
    x = 598,646,153.80/30,743.04
  6. Step 6: Final answer
    x = 19,472.58

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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.