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Finding the Fourth Proportional to 7,689.74, 11,509.70 and 4,348.89

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Solution

The fourth proportional to 7,689.74, 11,509.70 and 4,348.89 is: 6,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.74 : 11,509.70 = 4,348.89 : x
  2. Step 2: Convert to fraction form
    7,689.74/11,509.70 = 4,348.89/x
  3. Step 3: Cross multiply
    7,689.74x = 11,509.70 × 4,348.89
  4. Step 4: Simplify right side
    7,689.74x = 50,054,397.49
  5. Step 5: Solve for x
    x = 50,054,397.49/7,689.74
  6. Step 6: Final answer
    x = 6,509.25

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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.