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Finding the Fourth Proportional to 12,902.59, 17,804.53 and 7,160.23

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Solution

The fourth proportional to 12,902.59, 17,804.53 and 7,160.23 is: 9,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.59 : 17,804.53 = 7,160.23 : x
  2. Step 2: Convert to fraction form
    12,902.59/17,804.53 = 7,160.23/x
  3. Step 3: Cross multiply
    12,902.59x = 17,804.53 × 7,160.23
  4. Step 4: Simplify right side
    12,902.59x = 127,484,529.84
  5. Step 5: Solve for x
    x = 127,484,529.84/12,902.59
  6. Step 6: Final answer
    x = 9,880.54

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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.