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Finding the Fourth Proportional to 5,210.88, 7,815.60 and 1,315.05

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Solution

The fourth proportional to 5,210.88, 7,815.60 and 1,315.05 is: 1,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.88 : 7,815.60 = 1,315.05 : x
  2. Step 2: Convert to fraction form
    5,210.88/7,815.60 = 1,315.05/x
  3. Step 3: Cross multiply
    5,210.88x = 7,815.60 × 1,315.05
  4. Step 4: Simplify right side
    5,210.88x = 10,277,904.78
  5. Step 5: Solve for x
    x = 10,277,904.78/5,210.88
  6. Step 6: Final answer
    x = 1,972.39

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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.