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Finding the Fourth Proportional to 5,203.08, 7,807.45 and 1,915.69

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Solution

The fourth proportional to 5,203.08, 7,807.45 and 1,915.69 is: 2,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.08 : 7,807.45 = 1,915.69 : x
  2. Step 2: Convert to fraction form
    5,203.08/7,807.45 = 1,915.69/x
  3. Step 3: Cross multiply
    5,203.08x = 7,807.45 × 1,915.69
  4. Step 4: Simplify right side
    5,203.08x = 14,956,649.10
  5. Step 5: Solve for x
    x = 14,956,649.10/5,203.08
  6. Step 6: Final answer
    x = 2,874.58

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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.