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Finding the Fourth Proportional to 5,609.64, 8,415.36 and 1,713.12

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Solution

The fourth proportional to 5,609.64, 8,415.36 and 1,713.12 is: 2,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.64 : 8,415.36 = 1,713.12 : x
  2. Step 2: Convert to fraction form
    5,609.64/8,415.36 = 1,713.12/x
  3. Step 3: Cross multiply
    5,609.64x = 8,415.36 × 1,713.12
  4. Step 4: Simplify right side
    5,609.64x = 14,416,521.52
  5. Step 5: Solve for x
    x = 14,416,521.52/5,609.64
  6. Step 6: Final answer
    x = 2,569.95

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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.