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Finding the Fourth Proportional to 12,678.86, 17,491.47 and 8,488.46

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Solution

The fourth proportional to 12,678.86, 17,491.47 and 8,488.46 is: 11,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.86 : 17,491.47 = 8,488.46 : x
  2. Step 2: Convert to fraction form
    12,678.86/17,491.47 = 8,488.46/x
  3. Step 3: Cross multiply
    12,678.86x = 17,491.47 × 8,488.46
  4. Step 4: Simplify right side
    12,678.86x = 148,475,643.44
  5. Step 5: Solve for x
    x = 148,475,643.44/12,678.86
  6. Step 6: Final answer
    x = 11,710.49

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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.