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Finding the Fourth Proportional to 8,434.80, 11,647.80 and 5,648.40

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Solution

The fourth proportional to 8,434.80, 11,647.80 and 5,648.40 is: 7,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.80 : 11,647.80 = 5,648.40 : x
  2. Step 2: Convert to fraction form
    8,434.80/11,647.80 = 5,648.40/x
  3. Step 3: Cross multiply
    8,434.80x = 11,647.80 × 5,648.40
  4. Step 4: Simplify right side
    8,434.80x = 65,791,433.52
  5. Step 5: Solve for x
    x = 65,791,433.52/8,434.80
  6. Step 6: Final answer
    x = 7,800.00

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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.