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Finding the Fourth Proportional to 9,977.23, 14,902.67 and 7,762.90

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Solution

The fourth proportional to 9,977.23, 14,902.67 and 7,762.90 is: 11,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.23 : 14,902.67 = 7,762.90 : x
  2. Step 2: Convert to fraction form
    9,977.23/14,902.67 = 7,762.90/x
  3. Step 3: Cross multiply
    9,977.23x = 14,902.67 × 7,762.90
  4. Step 4: Simplify right side
    9,977.23x = 115,687,936.94
  5. Step 5: Solve for x
    x = 115,687,936.94/9,977.23
  6. Step 6: Final answer
    x = 11,595.20

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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.