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Finding the Fourth Proportional to 13,638.16, 18,821.11 and 7,670.98

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Solution

The fourth proportional to 13,638.16, 18,821.11 and 7,670.98 is: 10,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.16 : 18,821.11 = 7,670.98 : x
  2. Step 2: Convert to fraction form
    13,638.16/18,821.11 = 7,670.98/x
  3. Step 3: Cross multiply
    13,638.16x = 18,821.11 × 7,670.98
  4. Step 4: Simplify right side
    13,638.16x = 144,376,264.28
  5. Step 5: Solve for x
    x = 144,376,264.28/13,638.16
  6. Step 6: Final answer
    x = 10,586.20

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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.