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Finding the Fourth Proportional to 9,625.60, 13,270.98 and 7,894.51

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Solution

The fourth proportional to 9,625.60, 13,270.98 and 7,894.51 is: 10,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.60 : 13,270.98 = 7,894.51 : x
  2. Step 2: Convert to fraction form
    9,625.60/13,270.98 = 7,894.51/x
  3. Step 3: Cross multiply
    9,625.60x = 13,270.98 × 7,894.51
  4. Step 4: Simplify right side
    9,625.60x = 104,767,884.32
  5. Step 5: Solve for x
    x = 104,767,884.32/9,625.60
  6. Step 6: Final answer
    x = 10,884.30

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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.