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Finding the Fourth Proportional to 12,480, 17,237.04 and 8,280.96

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Solution

The fourth proportional to 12,480, 17,237.04 and 8,280.96 is: 11,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480 : 17,237.04 = 8,280.96 : x
  2. Step 2: Convert to fraction form
    12,480/17,237.04 = 8,280.96/x
  3. Step 3: Cross multiply
    12,480x = 17,237.04 × 8,280.96
  4. Step 4: Simplify right side
    12,480x = 142,739,238.76
  5. Step 5: Solve for x
    x = 142,739,238.76/12,480
  6. Step 6: Final answer
    x = 11,437.44

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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.