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Finding the Fourth Proportional to 14,411.76, 19,891.32 and 9,103.20

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Solution

The fourth proportional to 14,411.76, 19,891.32 and 9,103.20 is: 12,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.76 : 19,891.32 = 9,103.20 : x
  2. Step 2: Convert to fraction form
    14,411.76/19,891.32 = 9,103.20/x
  3. Step 3: Cross multiply
    14,411.76x = 19,891.32 × 9,103.20
  4. Step 4: Simplify right side
    14,411.76x = 181,074,664.22
  5. Step 5: Solve for x
    x = 181,074,664.22/14,411.76
  6. Step 6: Final answer
    x = 12,564.37

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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.