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Finding the Fourth Proportional to 7,880.16, 10,867.04 and 5,186.56

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Solution

The fourth proportional to 7,880.16, 10,867.04 and 5,186.56 is: 7,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.16 : 10,867.04 = 5,186.56 : x
  2. Step 2: Convert to fraction form
    7,880.16/10,867.04 = 5,186.56/x
  3. Step 3: Cross multiply
    7,880.16x = 10,867.04 × 5,186.56
  4. Step 4: Simplify right side
    7,880.16x = 56,362,554.98
  5. Step 5: Solve for x
    x = 56,362,554.98/7,880.16
  6. Step 6: Final answer
    x = 7,152.46

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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.