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Finding the Fourth Proportional to 16,480, 22,742.88 and 9,028.48

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Solution

The fourth proportional to 16,480, 22,742.88 and 9,028.48 is: 12,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480 : 22,742.88 = 9,028.48 : x
  2. Step 2: Convert to fraction form
    16,480/22,742.88 = 9,028.48/x
  3. Step 3: Cross multiply
    16,480x = 22,742.88 × 9,028.48
  4. Step 4: Simplify right side
    16,480x = 205,333,637.22
  5. Step 5: Solve for x
    x = 205,333,637.22/16,480
  6. Step 6: Final answer
    x = 12,459.57

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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.