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Finding the Fourth Proportional to 12,572.88, 17,347.40 and 8,378.32

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Solution

The fourth proportional to 12,572.88, 17,347.40 and 8,378.32 is: 11,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.88 : 17,347.40 = 8,378.32 : x
  2. Step 2: Convert to fraction form
    12,572.88/17,347.40 = 8,378.32/x
  3. Step 3: Cross multiply
    12,572.88x = 17,347.40 × 8,378.32
  4. Step 4: Simplify right side
    12,572.88x = 145,342,068.37
  5. Step 5: Solve for x
    x = 145,342,068.37/12,572.88
  6. Step 6: Final answer
    x = 11,559.97

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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.