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Finding the Fourth Proportional to 5,611.32, 8,417 and 1,715.71

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Solution

The fourth proportional to 5,611.32, 8,417 and 1,715.71 is: 2,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.32 : 8,417 = 1,715.71 : x
  2. Step 2: Convert to fraction form
    5,611.32/8,417 = 1,715.71/x
  3. Step 3: Cross multiply
    5,611.32x = 8,417 × 1,715.71
  4. Step 4: Simplify right side
    5,611.32x = 14,441,131.07
  5. Step 5: Solve for x
    x = 14,441,131.07/5,611.32
  6. Step 6: Final answer
    x = 2,573.57

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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.