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Finding the Fourth Proportional to 30,782.70, 43,008.30 and 30,782.70

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Solution

The fourth proportional to 30,782.70, 43,008.30 and 30,782.70 is: 43,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.70 : 43,008.30 = 30,782.70 : x
  2. Step 2: Convert to fraction form
    30,782.70/43,008.30 = 30,782.70/x
  3. Step 3: Cross multiply
    30,782.70x = 43,008.30 × 30,782.70
  4. Step 4: Simplify right side
    30,782.70x = 1,323,911,596.41
  5. Step 5: Solve for x
    x = 1,323,911,596.41/30,782.70
  6. Step 6: Final answer
    x = 43,008.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.