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Finding the Fourth Proportional to 14,309.16, 19,747.42 and 8,340.47

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Solution

The fourth proportional to 14,309.16, 19,747.42 and 8,340.47 is: 11,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.16 : 19,747.42 = 8,340.47 : x
  2. Step 2: Convert to fraction form
    14,309.16/19,747.42 = 8,340.47/x
  3. Step 3: Cross multiply
    14,309.16x = 19,747.42 × 8,340.47
  4. Step 4: Simplify right side
    14,309.16x = 164,702,792.60
  5. Step 5: Solve for x
    x = 164,702,792.60/14,309.16
  6. Step 6: Final answer
    x = 11,510.30

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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.