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Finding the Fourth Proportional to 9,398.69, 12,970.19 and 5,206.94

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Solution

The fourth proportional to 9,398.69, 12,970.19 and 5,206.94 is: 7,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.69 : 12,970.19 = 5,206.94 : x
  2. Step 2: Convert to fraction form
    9,398.69/12,970.19 = 5,206.94/x
  3. Step 3: Cross multiply
    9,398.69x = 12,970.19 × 5,206.94
  4. Step 4: Simplify right side
    9,398.69x = 67,535,001.12
  5. Step 5: Solve for x
    x = 67,535,001.12/9,398.69
  6. Step 6: Final answer
    x = 7,185.58

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1.5x scale

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.