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Finding the Fourth Proportional to 12,970.96, 17,900.28 and 7,305.92

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Solution

The fourth proportional to 12,970.96, 17,900.28 and 7,305.92 is: 10,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.96 : 17,900.28 = 7,305.92 : x
  2. Step 2: Convert to fraction form
    12,970.96/17,900.28 = 7,305.92/x
  3. Step 3: Cross multiply
    12,970.96x = 17,900.28 × 7,305.92
  4. Step 4: Simplify right side
    12,970.96x = 130,778,013.66
  5. Step 5: Solve for x
    x = 130,778,013.66/12,970.96
  6. Step 6: Final answer
    x = 10,082.37

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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.