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Finding the Fourth Proportional to 30,959.34, 46,439 and 12,478.38

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Solution

The fourth proportional to 30,959.34, 46,439 and 12,478.38 is: 18,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.34 : 46,439 = 12,478.38 : x
  2. Step 2: Convert to fraction form
    30,959.34/46,439 = 12,478.38/x
  3. Step 3: Cross multiply
    30,959.34x = 46,439 × 12,478.38
  4. Step 4: Simplify right side
    30,959.34x = 579,483,488.82
  5. Step 5: Solve for x
    x = 579,483,488.82/30,959.34
  6. Step 6: Final answer
    x = 18,717.57

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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.