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Finding the Fourth Proportional to 30,905.40, 46,355.40 and 10,128.90

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Solution

The fourth proportional to 30,905.40, 46,355.40 and 10,128.90 is: 15,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,905.40 : 46,355.40 = 10,128.90 : x
  2. Step 2: Convert to fraction form
    30,905.40/46,355.40 = 10,128.90/x
  3. Step 3: Cross multiply
    30,905.40x = 46,355.40 × 10,128.90
  4. Step 4: Simplify right side
    30,905.40x = 469,529,211.06
  5. Step 5: Solve for x
    x = 469,529,211.06/30,905.40
  6. Step 6: Final answer
    x = 15,192.47

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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.