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Finding the Fourth Proportional to 30,921.49, 46,385.88 and 9,854.20

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Solution

The fourth proportional to 30,921.49, 46,385.88 and 9,854.20 is: 14,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.49 : 46,385.88 = 9,854.20 : x
  2. Step 2: Convert to fraction form
    30,921.49/46,385.88 = 9,854.20/x
  3. Step 3: Cross multiply
    30,921.49x = 46,385.88 × 9,854.20
  4. Step 4: Simplify right side
    30,921.49x = 457,095,738.70
  5. Step 5: Solve for x
    x = 457,095,738.70/30,921.49
  6. Step 6: Final answer
    x = 14,782.46

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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.