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Finding the Fourth Proportional to 14,080, 19,430.76 and 8,491.36

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Solution

The fourth proportional to 14,080, 19,430.76 and 8,491.36 is: 11,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080 : 19,430.76 = 8,491.36 : x
  2. Step 2: Convert to fraction form
    14,080/19,430.76 = 8,491.36/x
  3. Step 3: Cross multiply
    14,080x = 19,430.76 × 8,491.36
  4. Step 4: Simplify right side
    14,080x = 164,993,578.23
  5. Step 5: Solve for x
    x = 164,993,578.23/14,080
  6. Step 6: Final answer
    x = 11,718.29

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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.