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Finding the Fourth Proportional to 14,182.99, 19,574.90 and 8,218.28

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Solution

The fourth proportional to 14,182.99, 19,574.90 and 8,218.28 is: 11,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.99 : 19,574.90 = 8,218.28 : x
  2. Step 2: Convert to fraction form
    14,182.99/19,574.90 = 8,218.28/x
  3. Step 3: Cross multiply
    14,182.99x = 19,574.90 × 8,218.28
  4. Step 4: Simplify right side
    14,182.99x = 160,872,009.17
  5. Step 5: Solve for x
    x = 160,872,009.17/14,182.99
  6. Step 6: Final answer
    x = 11,342.60

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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.