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Finding the Fourth Proportional to 5,892.35, 8,838.50 and 1,509.80

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Solution

The fourth proportional to 5,892.35, 8,838.50 and 1,509.80 is: 2,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.35 : 8,838.50 = 1,509.80 : x
  2. Step 2: Convert to fraction form
    5,892.35/8,838.50 = 1,509.80/x
  3. Step 3: Cross multiply
    5,892.35x = 8,838.50 × 1,509.80
  4. Step 4: Simplify right side
    5,892.35x = 13,344,315.56
  5. Step 5: Solve for x
    x = 13,344,315.56/5,892.35
  6. Step 6: Final answer
    x = 2,264.69

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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.