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Finding the Fourth Proportional to 10,062, 15,090.12 and 4,218.48

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Solution

The fourth proportional to 10,062, 15,090.12 and 4,218.48 is: 6,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062 : 15,090.12 = 4,218.48 : x
  2. Step 2: Convert to fraction form
    10,062/15,090.12 = 4,218.48/x
  3. Step 3: Cross multiply
    10,062x = 15,090.12 × 4,218.48
  4. Step 4: Simplify right side
    10,062x = 63,657,369.42
  5. Step 5: Solve for x
    x = 63,657,369.42/10,062
  6. Step 6: Final answer
    x = 6,326.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.