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Finding the Fourth Proportional to 29,328.60, 43,992.88 and 7,142

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Solution

The fourth proportional to 29,328.60, 43,992.88 and 7,142 is: 10,713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,328.60 : 43,992.88 = 7,142 : x
  2. Step 2: Convert to fraction form
    29,328.60/43,992.88 = 7,142/x
  3. Step 3: Cross multiply
    29,328.60x = 43,992.88 × 7,142
  4. Step 4: Simplify right side
    29,328.60x = 314,197,148.96
  5. Step 5: Solve for x
    x = 314,197,148.96/29,328.60
  6. Step 6: Final answer
    x = 10,713.00

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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.