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Finding the Fourth Proportional to 7,720.35, 10,654.74 and 6,459.18

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Solution

The fourth proportional to 7,720.35, 10,654.74 and 6,459.18 is: 8,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.35 : 10,654.74 = 6,459.18 : x
  2. Step 2: Convert to fraction form
    7,720.35/10,654.74 = 6,459.18/x
  3. Step 3: Cross multiply
    7,720.35x = 10,654.74 × 6,459.18
  4. Step 4: Simplify right side
    7,720.35x = 68,820,883.51
  5. Step 5: Solve for x
    x = 68,820,883.51/7,720.35
  6. Step 6: Final answer
    x = 8,914.22

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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.