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Finding the Fourth Proportional to 30,815.52, 46,216.14 and 8,630.46

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Solution

The fourth proportional to 30,815.52, 46,216.14 and 8,630.46 is: 12,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,815.52 : 46,216.14 = 8,630.46 : x
  2. Step 2: Convert to fraction form
    30,815.52/46,216.14 = 8,630.46/x
  3. Step 3: Cross multiply
    30,815.52x = 46,216.14 × 8,630.46
  4. Step 4: Simplify right side
    30,815.52x = 398,866,547.62
  5. Step 5: Solve for x
    x = 398,866,547.62/30,815.52
  6. Step 6: Final answer
    x = 12,943.69

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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.