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Finding the Fourth Proportional to 7,939, 10,952.04 and 5,582.44

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Solution

The fourth proportional to 7,939, 10,952.04 and 5,582.44 is: 7,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,939 : 10,952.04 = 5,582.44 : x
  2. Step 2: Convert to fraction form
    7,939/10,952.04 = 5,582.44/x
  3. Step 3: Cross multiply
    7,939x = 10,952.04 × 5,582.44
  4. Step 4: Simplify right side
    7,939x = 61,139,106.18
  5. Step 5: Solve for x
    x = 61,139,106.18/7,939
  6. Step 6: Final answer
    x = 7,701.11

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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.