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Finding the Fourth Proportional to 11,521, 17,285.60 and 5,681.76

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Solution

The fourth proportional to 11,521, 17,285.60 and 5,681.76 is: 8,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521 : 17,285.60 = 5,681.76 : x
  2. Step 2: Convert to fraction form
    11,521/17,285.60 = 5,681.76/x
  3. Step 3: Cross multiply
    11,521x = 17,285.60 × 5,681.76
  4. Step 4: Simplify right side
    11,521x = 98,212,630.66
  5. Step 5: Solve for x
    x = 98,212,630.66/11,521
  6. Step 6: Final answer
    x = 8,524.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.