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Finding the Fourth Proportional to 30,946.26, 46,421.98 and 9,889.30

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Solution

The fourth proportional to 30,946.26, 46,421.98 and 9,889.30 is: 14,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.26 : 46,421.98 = 9,889.30 : x
  2. Step 2: Convert to fraction form
    30,946.26/46,421.98 = 9,889.30/x
  3. Step 3: Cross multiply
    30,946.26x = 46,421.98 × 9,889.30
  4. Step 4: Simplify right side
    30,946.26x = 459,080,920.12
  5. Step 5: Solve for x
    x = 459,080,920.12/30,946.26
  6. Step 6: Final answer
    x = 14,834.78

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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.