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Finding the Fourth Proportional to 10,559.77, 15,860.15 and 7,775.44

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Solution

The fourth proportional to 10,559.77, 15,860.15 and 7,775.44 is: 11,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.77 : 15,860.15 = 7,775.44 : x
  2. Step 2: Convert to fraction form
    10,559.77/15,860.15 = 7,775.44/x
  3. Step 3: Cross multiply
    10,559.77x = 15,860.15 × 7,775.44
  4. Step 4: Simplify right side
    10,559.77x = 123,319,644.72
  5. Step 5: Solve for x
    x = 123,319,644.72/10,559.77
  6. Step 6: Final answer
    x = 11,678.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.