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Finding the Fourth Proportional to 5,237, 7,854.30 and 1,950.44

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Solution

The fourth proportional to 5,237, 7,854.30 and 1,950.44 is: 2,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237 : 7,854.30 = 1,950.44 : x
  2. Step 2: Convert to fraction form
    5,237/7,854.30 = 1,950.44/x
  3. Step 3: Cross multiply
    5,237x = 7,854.30 × 1,950.44
  4. Step 4: Simplify right side
    5,237x = 15,319,340.89
  5. Step 5: Solve for x
    x = 15,319,340.89/5,237
  6. Step 6: Final answer
    x = 2,925.21

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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.