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Finding the Fourth Proportional to 28,957.96, 43,438.74 and 9,983.68

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Solution

The fourth proportional to 28,957.96, 43,438.74 and 9,983.68 is: 14,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,957.96 : 43,438.74 = 9,983.68 : x
  2. Step 2: Convert to fraction form
    28,957.96/43,438.74 = 9,983.68/x
  3. Step 3: Cross multiply
    28,957.96x = 43,438.74 × 9,983.68
  4. Step 4: Simplify right side
    28,957.96x = 433,678,479.76
  5. Step 5: Solve for x
    x = 433,678,479.76/28,957.96
  6. Step 6: Final answer
    x = 14,976.14

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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.