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Finding the Fourth Proportional to 7,720.88, 11,582.95 and 2,977.16

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Solution

The fourth proportional to 7,720.88, 11,582.95 and 2,977.16 is: 4,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.88 : 11,582.95 = 2,977.16 : x
  2. Step 2: Convert to fraction form
    7,720.88/11,582.95 = 2,977.16/x
  3. Step 3: Cross multiply
    7,720.88x = 11,582.95 × 2,977.16
  4. Step 4: Simplify right side
    7,720.88x = 34,484,237.51
  5. Step 5: Solve for x
    x = 34,484,237.51/7,720.88
  6. Step 6: Final answer
    x = 4,466.36

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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.