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Finding the Fourth Proportional to 12,875, 17,765.45 and 7,210.00

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Solution

The fourth proportional to 12,875, 17,765.45 and 7,210.00 is: 9,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875 : 17,765.45 = 7,210.00 : x
  2. Step 2: Convert to fraction form
    12,875/17,765.45 = 7,210.00/x
  3. Step 3: Cross multiply
    12,875x = 17,765.45 × 7,210.00
  4. Step 4: Simplify right side
    12,875x = 128,088,769.62
  5. Step 5: Solve for x
    x = 128,088,769.62/12,875
  6. Step 6: Final answer
    x = 9,948.64

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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.