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Finding the Fourth Proportional to 13,575, 18,728.25 and 8,537.16

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Solution

The fourth proportional to 13,575, 18,728.25 and 8,537.16 is: 11,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575 : 18,728.25 = 8,537.16 : x
  2. Step 2: Convert to fraction form
    13,575/18,728.25 = 8,537.16/x
  3. Step 3: Cross multiply
    13,575x = 18,728.25 × 8,537.16
  4. Step 4: Simplify right side
    13,575x = 159,886,066.77
  5. Step 5: Solve for x
    x = 159,886,066.77/13,575
  6. Step 6: Final answer
    x = 11,777.98

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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.