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Finding the Fourth Proportional to 12,970.92, 17,901.06 and 10,140.84

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Solution

The fourth proportional to 12,970.92, 17,901.06 and 10,140.84 is: 13,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.92 : 17,901.06 = 10,140.84 : x
  2. Step 2: Convert to fraction form
    12,970.92/17,901.06 = 10,140.84/x
  3. Step 3: Cross multiply
    12,970.92x = 17,901.06 × 10,140.84
  4. Step 4: Simplify right side
    12,970.92x = 181,531,785.29
  5. Step 5: Solve for x
    x = 181,531,785.29/12,970.92
  6. Step 6: Final answer
    x = 13,995.29

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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.