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Finding the Fourth Proportional to 6,980.16, 10,470.24 and 1,715.16

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Solution

The fourth proportional to 6,980.16, 10,470.24 and 1,715.16 is: 2,572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.16 : 10,470.24 = 1,715.16 : x
  2. Step 2: Convert to fraction form
    6,980.16/10,470.24 = 1,715.16/x
  3. Step 3: Cross multiply
    6,980.16x = 10,470.24 × 1,715.16
  4. Step 4: Simplify right side
    6,980.16x = 17,958,136.84
  5. Step 5: Solve for x
    x = 17,958,136.84/6,980.16
  6. Step 6: Final answer
    x = 2,572.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.