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Finding the Fourth Proportional to 14,409.76, 21,649.20 and 9,225.76

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Solution

The fourth proportional to 14,409.76, 21,649.20 and 9,225.76 is: 13,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.76 : 21,649.20 = 9,225.76 : x
  2. Step 2: Convert to fraction form
    14,409.76/21,649.20 = 9,225.76/x
  3. Step 3: Cross multiply
    14,409.76x = 21,649.20 × 9,225.76
  4. Step 4: Simplify right side
    14,409.76x = 199,730,323.39
  5. Step 5: Solve for x
    x = 199,730,323.39/14,409.76
  6. Step 6: Final answer
    x = 13,860.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.