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Finding the Fourth Proportional to 7,952.77, 10,970.40 and 7,389.62

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Solution

The fourth proportional to 7,952.77, 10,970.40 and 7,389.62 is: 10,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.77 : 10,970.40 = 7,389.62 : x
  2. Step 2: Convert to fraction form
    7,952.77/10,970.40 = 7,389.62/x
  3. Step 3: Cross multiply
    7,952.77x = 10,970.40 × 7,389.62
  4. Step 4: Simplify right side
    7,952.77x = 81,067,087.25
  5. Step 5: Solve for x
    x = 81,067,087.25/7,952.77
  6. Step 6: Final answer
    x = 10,193.57

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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.