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Finding the Fourth Proportional to 12,876.81, 17,765.84 and 7,210.71

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Solution

The fourth proportional to 12,876.81, 17,765.84 and 7,210.71 is: 9,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.81 : 17,765.84 = 7,210.71 : x
  2. Step 2: Convert to fraction form
    12,876.81/17,765.84 = 7,210.71/x
  3. Step 3: Cross multiply
    12,876.81x = 17,765.84 × 7,210.71
  4. Step 4: Simplify right side
    12,876.81x = 128,104,284.09
  5. Step 5: Solve for x
    x = 128,104,284.09/12,876.81
  6. Step 6: Final answer
    x = 9,948.45

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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.