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Finding the Fourth Proportional to 13,640.30, 18,823.54 and 7,671.84

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Solution

The fourth proportional to 13,640.30, 18,823.54 and 7,671.84 is: 10,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.30 : 18,823.54 = 7,671.84 : x
  2. Step 2: Convert to fraction form
    13,640.30/18,823.54 = 7,671.84/x
  3. Step 3: Cross multiply
    13,640.30x = 18,823.54 × 7,671.84
  4. Step 4: Simplify right side
    13,640.30x = 144,411,164.67
  5. Step 5: Solve for x
    x = 144,411,164.67/13,640.30
  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.