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Finding the Fourth Proportional to 6,469, 9,705.18 and 4,713.16

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Solution

The fourth proportional to 6,469, 9,705.18 and 4,713.16 is: 7,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469 : 9,705.18 = 4,713.16 : x
  2. Step 2: Convert to fraction form
    6,469/9,705.18 = 4,713.16/x
  3. Step 3: Cross multiply
    6,469x = 9,705.18 × 4,713.16
  4. Step 4: Simplify right side
    6,469x = 45,742,066.17
  5. Step 5: Solve for x
    x = 45,742,066.17/6,469
  6. Step 6: Final answer
    x = 7,070.96

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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.