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Finding the Fourth Proportional to 12,070, 16,657.56 and 7,102.96

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Solution

The fourth proportional to 12,070, 16,657.56 and 7,102.96 is: 9,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070 : 16,657.56 = 7,102.96 : x
  2. Step 2: Convert to fraction form
    12,070/16,657.56 = 7,102.96/x
  3. Step 3: Cross multiply
    12,070x = 16,657.56 × 7,102.96
  4. Step 4: Simplify right side
    12,070x = 118,317,982.38
  5. Step 5: Solve for x
    x = 118,317,982.38/12,070
  6. Step 6: Final answer
    x = 9,802.65

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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.