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Finding the Fourth Proportional to 7,846.40, 10,827.60 and 4,308.95

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Solution

The fourth proportional to 7,846.40, 10,827.60 and 4,308.95 is: 5,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.40 : 10,827.60 = 4,308.95 : x
  2. Step 2: Convert to fraction form
    7,846.40/10,827.60 = 4,308.95/x
  3. Step 3: Cross multiply
    7,846.40x = 10,827.60 × 4,308.95
  4. Step 4: Simplify right side
    7,846.40x = 46,655,587.02
  5. Step 5: Solve for x
    x = 46,655,587.02/7,846.40
  6. Step 6: Final answer
    x = 5,946.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.