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Finding the Fourth Proportional to 12,897.76, 17,802.96 and 7,312.48

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Solution

The fourth proportional to 12,897.76, 17,802.96 and 7,312.48 is: 10,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.76 : 17,802.96 = 7,312.48 : x
  2. Step 2: Convert to fraction form
    12,897.76/17,802.96 = 7,312.48/x
  3. Step 3: Cross multiply
    12,897.76x = 17,802.96 × 7,312.48
  4. Step 4: Simplify right side
    12,897.76x = 130,183,788.94
  5. Step 5: Solve for x
    x = 130,183,788.94/12,897.76
  6. Step 6: Final answer
    x = 10,093.52

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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.