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Finding the Fourth Proportional to 7,894.95, 11,831.10 and 5,798.49

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Solution

The fourth proportional to 7,894.95, 11,831.10 and 5,798.49 is: 8,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.95 : 11,831.10 = 5,798.49 : x
  2. Step 2: Convert to fraction form
    7,894.95/11,831.10 = 5,798.49/x
  3. Step 3: Cross multiply
    7,894.95x = 11,831.10 × 5,798.49
  4. Step 4: Simplify right side
    7,894.95x = 68,602,515.04
  5. Step 5: Solve for x
    x = 68,602,515.04/7,894.95
  6. Step 6: Final answer
    x = 8,689.42

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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.