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Finding the Fourth Proportional to 9,720, 13,412.86 and 5,740.34

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Solution

The fourth proportional to 9,720, 13,412.86 and 5,740.34 is: 7,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 13,412.86 = 5,740.34 : x
  2. Step 2: Convert to fraction form
    9,720/13,412.86 = 5,740.34/x
  3. Step 3: Cross multiply
    9,720x = 13,412.86 × 5,740.34
  4. Step 4: Simplify right side
    9,720x = 76,994,376.77
  5. Step 5: Solve for x
    x = 76,994,376.77/9,720
  6. Step 6: Final answer
    x = 7,921.23

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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.