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Finding the Fourth Proportional to 7,830.68, 11,746.08 and 3,934.17

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Solution

The fourth proportional to 7,830.68, 11,746.08 and 3,934.17 is: 5,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.68 : 11,746.08 = 3,934.17 : x
  2. Step 2: Convert to fraction form
    7,830.68/11,746.08 = 3,934.17/x
  3. Step 3: Cross multiply
    7,830.68x = 11,746.08 × 3,934.17
  4. Step 4: Simplify right side
    7,830.68x = 46,211,075.55
  5. Step 5: Solve for x
    x = 46,211,075.55/7,830.68
  6. Step 6: Final answer
    x = 5,901.29

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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.