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Finding the Fourth Proportional to 8,864.16, 12,226.32 and 7,620

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Solution

The fourth proportional to 8,864.16, 12,226.32 and 7,620 is: 10,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.16 : 12,226.32 = 7,620 : x
  2. Step 2: Convert to fraction form
    8,864.16/12,226.32 = 7,620/x
  3. Step 3: Cross multiply
    8,864.16x = 12,226.32 × 7,620
  4. Step 4: Simplify right side
    8,864.16x = 93,164,558.40
  5. Step 5: Solve for x
    x = 93,164,558.40/8,864.16
  6. Step 6: Final answer
    x = 10,510.25

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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.