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Finding the Fourth Proportional to 12,307.56, 16,978.08 and 8,330.16

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Solution

The fourth proportional to 12,307.56, 16,978.08 and 8,330.16 is: 11,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.56 : 16,978.08 = 8,330.16 : x
  2. Step 2: Convert to fraction form
    12,307.56/16,978.08 = 8,330.16/x
  3. Step 3: Cross multiply
    12,307.56x = 16,978.08 × 8,330.16
  4. Step 4: Simplify right side
    12,307.56x = 141,430,122.89
  5. Step 5: Solve for x
    x = 141,430,122.89/12,307.56
  6. Step 6: Final answer
    x = 11,491.32

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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.