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Finding the Fourth Proportional to 31,804.40, 47,706.60 and 30,492.20

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Solution

The fourth proportional to 31,804.40, 47,706.60 and 30,492.20 is: 45,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.40 : 47,706.60 = 30,492.20 : x
  2. Step 2: Convert to fraction form
    31,804.40/47,706.60 = 30,492.20/x
  3. Step 3: Cross multiply
    31,804.40x = 47,706.60 × 30,492.20
  4. Step 4: Simplify right side
    31,804.40x = 1,454,679,188.52
  5. Step 5: Solve for x
    x = 1,454,679,188.52/31,804.40
  6. Step 6: Final answer
    x = 45,738.30

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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.