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Finding the Fourth Proportional to 5,607.70, 8,412.47 and 1,909.55

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Solution

The fourth proportional to 5,607.70, 8,412.47 and 1,909.55 is: 2,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.70 : 8,412.47 = 1,909.55 : x
  2. Step 2: Convert to fraction form
    5,607.70/8,412.47 = 1,909.55/x
  3. Step 3: Cross multiply
    5,607.70x = 8,412.47 × 1,909.55
  4. Step 4: Simplify right side
    5,607.70x = 16,064,032.09
  5. Step 5: Solve for x
    x = 16,064,032.09/5,607.70
  6. Step 6: Final answer
    x = 2,864.64

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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.