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Finding the Fourth Proportional to 7,875.88, 10,873.38 and 7,001.16

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Solution

The fourth proportional to 7,875.88, 10,873.38 and 7,001.16 is: 9,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.88 : 10,873.38 = 7,001.16 : x
  2. Step 2: Convert to fraction form
    7,875.88/10,873.38 = 7,001.16/x
  3. Step 3: Cross multiply
    7,875.88x = 10,873.38 × 7,001.16
  4. Step 4: Simplify right side
    7,875.88x = 76,126,273.12
  5. Step 5: Solve for x
    x = 76,126,273.12/7,875.88
  6. Step 6: Final answer
    x = 9,665.75

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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.