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Finding the Fourth Proportional to 11,782.50, 16,259.95 and 6,477.20

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Solution

The fourth proportional to 11,782.50, 16,259.95 and 6,477.20 is: 8,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.50 : 16,259.95 = 6,477.20 : x
  2. Step 2: Convert to fraction form
    11,782.50/16,259.95 = 6,477.20/x
  3. Step 3: Cross multiply
    11,782.50x = 16,259.95 × 6,477.20
  4. Step 4: Simplify right side
    11,782.50x = 105,318,948.14
  5. Step 5: Solve for x
    x = 105,318,948.14/11,782.50
  6. Step 6: Final answer
    x = 8,938.59

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.