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Finding the Fourth Proportional to 7,672, 11,501.13 and 2,740.93

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Solution

The fourth proportional to 7,672, 11,501.13 and 2,740.93 is: 4,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672 : 11,501.13 = 2,740.93 : x
  2. Step 2: Convert to fraction form
    7,672/11,501.13 = 2,740.93/x
  3. Step 3: Cross multiply
    7,672x = 11,501.13 × 2,740.93
  4. Step 4: Simplify right side
    7,672x = 31,523,792.25
  5. Step 5: Solve for x
    x = 31,523,792.25/7,672
  6. Step 6: Final answer
    x = 4,108.94

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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.