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Finding the Fourth Proportional to 12,573.76, 17,280.16 and 10,331.84

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Solution

The fourth proportional to 12,573.76, 17,280.16 and 10,331.84 is: 14,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.76 : 17,280.16 = 10,331.84 : x
  2. Step 2: Convert to fraction form
    12,573.76/17,280.16 = 10,331.84/x
  3. Step 3: Cross multiply
    12,573.76x = 17,280.16 × 10,331.84
  4. Step 4: Simplify right side
    12,573.76x = 178,535,848.29
  5. Step 5: Solve for x
    x = 178,535,848.29/12,573.76
  6. Step 6: Final answer
    x = 14,199.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.