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Finding the Fourth Proportional to 8,735.70, 12,053.40 and 5,550

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Solution

The fourth proportional to 8,735.70, 12,053.40 and 5,550 is: 7,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.70 : 12,053.40 = 5,550 : x
  2. Step 2: Convert to fraction form
    8,735.70/12,053.40 = 5,550/x
  3. Step 3: Cross multiply
    8,735.70x = 12,053.40 × 5,550
  4. Step 4: Simplify right side
    8,735.70x = 66,896,370
  5. Step 5: Solve for x
    x = 66,896,370/8,735.70
  6. Step 6: Final answer
    x = 7,657.81

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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.