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Finding the Fourth Proportional to 7,689.12, 10,612.72 and 6,206.88

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Solution

The fourth proportional to 7,689.12, 10,612.72 and 6,206.88 is: 8,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.12 : 10,612.72 = 6,206.88 : x
  2. Step 2: Convert to fraction form
    7,689.12/10,612.72 = 6,206.88/x
  3. Step 3: Cross multiply
    7,689.12x = 10,612.72 × 6,206.88
  4. Step 4: Simplify right side
    7,689.12x = 65,871,879.51
  5. Step 5: Solve for x
    x = 65,871,879.51/7,689.12
  6. Step 6: Final answer
    x = 8,566.89

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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.