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Finding the Fourth Proportional to 30,854.46, 46,281.69 and 7,480.90

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Solution

The fourth proportional to 30,854.46, 46,281.69 and 7,480.90 is: 11,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.46 : 46,281.69 = 7,480.90 : x
  2. Step 2: Convert to fraction form
    30,854.46/46,281.69 = 7,480.90/x
  3. Step 3: Cross multiply
    30,854.46x = 46,281.69 × 7,480.90
  4. Step 4: Simplify right side
    30,854.46x = 346,228,657.32
  5. Step 5: Solve for x
    x = 346,228,657.32/30,854.46
  6. Step 6: Final answer
    x = 11,221.35

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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.