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Finding the Fourth Proportional to 12,358.49, 17,053.07 and 6,980.90

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Solution

The fourth proportional to 12,358.49, 17,053.07 and 6,980.90 is: 9,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.49 : 17,053.07 = 6,980.90 : x
  2. Step 2: Convert to fraction form
    12,358.49/17,053.07 = 6,980.90/x
  3. Step 3: Cross multiply
    12,358.49x = 17,053.07 × 6,980.90
  4. Step 4: Simplify right side
    12,358.49x = 119,045,656.19
  5. Step 5: Solve for x
    x = 119,045,656.19/12,358.49
  6. Step 6: Final answer
    x = 9,632.71

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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.