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Finding the Fourth Proportional to 7,038.84, 9,713.62 and 3,852.18

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Solution

The fourth proportional to 7,038.84, 9,713.62 and 3,852.18 is: 5,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.84 : 9,713.62 = 3,852.18 : x
  2. Step 2: Convert to fraction form
    7,038.84/9,713.62 = 3,852.18/x
  3. Step 3: Cross multiply
    7,038.84x = 9,713.62 × 3,852.18
  4. Step 4: Simplify right side
    7,038.84x = 37,418,612.69
  5. Step 5: Solve for x
    x = 37,418,612.69/7,038.84
  6. Step 6: Final answer
    x = 5,316.02

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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.