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Finding the Fourth Proportional to 10,418.70, 14,378.04 and 5,703.06

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Solution

The fourth proportional to 10,418.70, 14,378.04 and 5,703.06 is: 7,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.70 : 14,378.04 = 5,703.06 : x
  2. Step 2: Convert to fraction form
    10,418.70/14,378.04 = 5,703.06/x
  3. Step 3: Cross multiply
    10,418.70x = 14,378.04 × 5,703.06
  4. Step 4: Simplify right side
    10,418.70x = 81,998,824.80
  5. Step 5: Solve for x
    x = 81,998,824.80/10,418.70
  6. Step 6: Final answer
    x = 7,870.35

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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.