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Finding the Fourth Proportional to 12,235.76, 16,885.07 and 7,130.96

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Solution

The fourth proportional to 12,235.76, 16,885.07 and 7,130.96 is: 9,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.76 : 16,885.07 = 7,130.96 : x
  2. Step 2: Convert to fraction form
    12,235.76/16,885.07 = 7,130.96/x
  3. Step 3: Cross multiply
    12,235.76x = 16,885.07 × 7,130.96
  4. Step 4: Simplify right side
    12,235.76x = 120,406,638.69
  5. Step 5: Solve for x
    x = 120,406,638.69/12,235.76
  6. Step 6: Final answer
    x = 9,840.55

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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.