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Finding the Fourth Proportional to 7,158, 9,882.36 and 4,678.32

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Solution

The fourth proportional to 7,158, 9,882.36 and 4,678.32 is: 6,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158 : 9,882.36 = 4,678.32 : x
  2. Step 2: Convert to fraction form
    7,158/9,882.36 = 4,678.32/x
  3. Step 3: Cross multiply
    7,158x = 9,882.36 × 4,678.32
  4. Step 4: Simplify right side
    7,158x = 46,232,842.44
  5. Step 5: Solve for x
    x = 46,232,842.44/7,158
  6. Step 6: Final answer
    x = 6,458.91

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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.