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Finding the Fourth Proportional to 7,004, 9,665.29 and 4,019.78

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Solution

The fourth proportional to 7,004, 9,665.29 and 4,019.78 is: 5,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004 : 9,665.29 = 4,019.78 : x
  2. Step 2: Convert to fraction form
    7,004/9,665.29 = 4,019.78/x
  3. Step 3: Cross multiply
    7,004x = 9,665.29 × 4,019.78
  4. Step 4: Simplify right side
    7,004x = 38,852,339.44
  5. Step 5: Solve for x
    x = 38,852,339.44/7,004
  6. Step 6: Final answer
    x = 5,547.16

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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.