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Finding the Fourth Proportional to 28,430.32, 42,636.84 and 9,958

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Solution

The fourth proportional to 28,430.32, 42,636.84 and 9,958 is: 14,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,430.32 : 42,636.84 = 9,958 : x
  2. Step 2: Convert to fraction form
    28,430.32/42,636.84 = 9,958/x
  3. Step 3: Cross multiply
    28,430.32x = 42,636.84 × 9,958
  4. Step 4: Simplify right side
    28,430.32x = 424,577,652.72
  5. Step 5: Solve for x
    x = 424,577,652.72/28,430.32
  6. Step 6: Final answer
    x = 14,933.97

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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.