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Finding the Fourth Proportional to 8,320, 11,482.88 and 5,009.92

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Solution

The fourth proportional to 8,320, 11,482.88 and 5,009.92 is: 6,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320 : 11,482.88 = 5,009.92 : x
  2. Step 2: Convert to fraction form
    8,320/11,482.88 = 5,009.92/x
  3. Step 3: Cross multiply
    8,320x = 11,482.88 × 5,009.92
  4. Step 4: Simplify right side
    8,320x = 57,528,310.17
  5. Step 5: Solve for x
    x = 57,528,310.17/8,320
  6. Step 6: Final answer
    x = 6,914.46

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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.