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Finding the Fourth Proportional to 10,471.79, 15,703.56 and 4,230.63

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Solution

The fourth proportional to 10,471.79, 15,703.56 and 4,230.63 is: 6,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.79 : 15,703.56 = 4,230.63 : x
  2. Step 2: Convert to fraction form
    10,471.79/15,703.56 = 4,230.63/x
  3. Step 3: Cross multiply
    10,471.79x = 15,703.56 × 4,230.63
  4. Step 4: Simplify right side
    10,471.79x = 66,435,952.04
  5. Step 5: Solve for x
    x = 66,435,952.04/10,471.79
  6. Step 6: Final answer
    x = 6,344.28

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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.