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Finding the Fourth Proportional to 13,670.63, 18,864.93 and 7,703.49

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Solution

The fourth proportional to 13,670.63, 18,864.93 and 7,703.49 is: 10,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.63 : 18,864.93 = 7,703.49 : x
  2. Step 2: Convert to fraction form
    13,670.63/18,864.93 = 7,703.49/x
  3. Step 3: Cross multiply
    13,670.63x = 18,864.93 × 7,703.49
  4. Step 4: Simplify right side
    13,670.63x = 145,325,799.61
  5. Step 5: Solve for x
    x = 145,325,799.61/13,670.63
  6. Step 6: Final answer
    x = 10,630.51

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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.