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Finding the Fourth Proportional to 9,771.48, 14,658 and 3,535.20

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Solution

The fourth proportional to 9,771.48, 14,658 and 3,535.20 is: 5,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.48 : 14,658 = 3,535.20 : x
  2. Step 2: Convert to fraction form
    9,771.48/14,658 = 3,535.20/x
  3. Step 3: Cross multiply
    9,771.48x = 14,658 × 3,535.20
  4. Step 4: Simplify right side
    9,771.48x = 51,818,961.60
  5. Step 5: Solve for x
    x = 51,818,961.60/9,771.48
  6. Step 6: Final answer
    x = 5,303.08

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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.