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Finding the Fourth Proportional to 28,297.50, 42,446.26 and 9,829.50

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Solution

The fourth proportional to 28,297.50, 42,446.26 and 9,829.50 is: 14,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,297.50 : 42,446.26 = 9,829.50 : x
  2. Step 2: Convert to fraction form
    28,297.50/42,446.26 = 9,829.50/x
  3. Step 3: Cross multiply
    28,297.50x = 42,446.26 × 9,829.50
  4. Step 4: Simplify right side
    28,297.50x = 417,225,512.67
  5. Step 5: Solve for x
    x = 417,225,512.67/28,297.50
  6. Step 6: Final answer
    x = 14,744.25

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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.