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Finding the Fourth Proportional to 8,364.16, 11,518.16 and 7,829.92

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Solution

The fourth proportional to 8,364.16, 11,518.16 and 7,829.92 is: 10,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.16 : 11,518.16 = 7,829.92 : x
  2. Step 2: Convert to fraction form
    8,364.16/11,518.16 = 7,829.92/x
  3. Step 3: Cross multiply
    8,364.16x = 11,518.16 × 7,829.92
  4. Step 4: Simplify right side
    8,364.16x = 90,186,271.35
  5. Step 5: Solve for x
    x = 90,186,271.35/8,364.16
  6. Step 6: Final answer
    x = 10,782.47

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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.