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Finding the Fourth Proportional to 14,966.72, 20,649.06 and 9,665.12

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Solution

The fourth proportional to 14,966.72, 20,649.06 and 9,665.12 is: 13,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.72 : 20,649.06 = 9,665.12 : x
  2. Step 2: Convert to fraction form
    14,966.72/20,649.06 = 9,665.12/x
  3. Step 3: Cross multiply
    14,966.72x = 20,649.06 × 9,665.12
  4. Step 4: Simplify right side
    14,966.72x = 199,575,642.79
  5. Step 5: Solve for x
    x = 199,575,642.79/14,966.72
  6. Step 6: Final answer
    x = 13,334.63

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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.