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Finding the Fourth Proportional to 6,470, 9,706.68 and 4,714.16

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Solution

The fourth proportional to 6,470, 9,706.68 and 4,714.16 is: 7,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470 : 9,706.68 = 4,714.16 : x
  2. Step 2: Convert to fraction form
    6,470/9,706.68 = 4,714.16/x
  3. Step 3: Cross multiply
    6,470x = 9,706.68 × 4,714.16
  4. Step 4: Simplify right side
    6,470x = 45,758,842.59
  5. Step 5: Solve for x
    x = 45,758,842.59/6,470
  6. Step 6: Final answer
    x = 7,072.46

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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.