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Finding the Fourth Proportional to 7,618.32, 10,512 and 4,970.16

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Solution

The fourth proportional to 7,618.32, 10,512 and 4,970.16 is: 6,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.32 : 10,512 = 4,970.16 : x
  2. Step 2: Convert to fraction form
    7,618.32/10,512 = 4,970.16/x
  3. Step 3: Cross multiply
    7,618.32x = 10,512 × 4,970.16
  4. Step 4: Simplify right side
    7,618.32x = 52,246,321.92
  5. Step 5: Solve for x
    x = 52,246,321.92/7,618.32
  6. Step 6: Final answer
    x = 6,857.98

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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.