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Finding the Fourth Proportional to 9,397.65, 12,968.73 and 5,205.90

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Solution

The fourth proportional to 9,397.65, 12,968.73 and 5,205.90 is: 7,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.65 : 12,968.73 = 5,205.90 : x
  2. Step 2: Convert to fraction form
    9,397.65/12,968.73 = 5,205.90/x
  3. Step 3: Cross multiply
    9,397.65x = 12,968.73 × 5,205.90
  4. Step 4: Simplify right side
    9,397.65x = 67,513,911.51
  5. Step 5: Solve for x
    x = 67,513,911.51/9,397.65
  6. Step 6: Final answer
    x = 7,184.13

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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.