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Finding the Fourth Proportional to 7,616.80, 10,511.40 and 4,259.74

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Solution

The fourth proportional to 7,616.80, 10,511.40 and 4,259.74 is: 5,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.80 : 10,511.40 = 4,259.74 : x
  2. Step 2: Convert to fraction form
    7,616.80/10,511.40 = 4,259.74/x
  3. Step 3: Cross multiply
    7,616.80x = 10,511.40 × 4,259.74
  4. Step 4: Simplify right side
    7,616.80x = 44,775,831.04
  5. Step 5: Solve for x
    x = 44,775,831.04/7,616.80
  6. Step 6: Final answer
    x = 5,878.56

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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.