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Finding the Fourth Proportional to 7,777.72, 11,617 and 7,036.18

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Solution

The fourth proportional to 7,777.72, 11,617 and 7,036.18 is: 10,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.72 : 11,617 = 7,036.18 : x
  2. Step 2: Convert to fraction form
    7,777.72/11,617 = 7,036.18/x
  3. Step 3: Cross multiply
    7,777.72x = 11,617 × 7,036.18
  4. Step 4: Simplify right side
    7,777.72x = 81,739,303.06
  5. Step 5: Solve for x
    x = 81,739,303.06/7,777.72
  6. Step 6: Final answer
    x = 10,509.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.