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Finding the Fourth Proportional to 13,957.72, 19,262.88 and 7,671.32

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Solution

The fourth proportional to 13,957.72, 19,262.88 and 7,671.32 is: 10,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.72 : 19,262.88 = 7,671.32 : x
  2. Step 2: Convert to fraction form
    13,957.72/19,262.88 = 7,671.32/x
  3. Step 3: Cross multiply
    13,957.72x = 19,262.88 × 7,671.32
  4. Step 4: Simplify right side
    13,957.72x = 147,771,716.60
  5. Step 5: Solve for x
    x = 147,771,716.60/13,957.72
  6. Step 6: Final answer
    x = 10,587.10

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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.