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Finding the Fourth Proportional to 7,035.12, 9,705.42 and 4,239

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Solution

The fourth proportional to 7,035.12, 9,705.42 and 4,239 is: 5,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.12 : 9,705.42 = 4,239 : x
  2. Step 2: Convert to fraction form
    7,035.12/9,705.42 = 4,239/x
  3. Step 3: Cross multiply
    7,035.12x = 9,705.42 × 4,239
  4. Step 4: Simplify right side
    7,035.12x = 41,141,275.38
  5. Step 5: Solve for x
    x = 41,141,275.38/7,035.12
  6. Step 6: Final answer
    x = 5,847.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.