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Finding the Fourth Proportional to 10,396, 14,346.48 and 5,680.32

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Solution

The fourth proportional to 10,396, 14,346.48 and 5,680.32 is: 7,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396 : 14,346.48 = 5,680.32 : x
  2. Step 2: Convert to fraction form
    10,396/14,346.48 = 5,680.32/x
  3. Step 3: Cross multiply
    10,396x = 14,346.48 × 5,680.32
  4. Step 4: Simplify right side
    10,396x = 81,492,525.54
  5. Step 5: Solve for x
    x = 81,492,525.54/10,396
  6. Step 6: Final answer
    x = 7,838.83

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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.