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Finding the Fourth Proportional to 7,143.53, 9,856.90 and 4,489.06

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Solution

The fourth proportional to 7,143.53, 9,856.90 and 4,489.06 is: 6,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.53 : 9,856.90 = 4,489.06 : x
  2. Step 2: Convert to fraction form
    7,143.53/9,856.90 = 4,489.06/x
  3. Step 3: Cross multiply
    7,143.53x = 9,856.90 × 4,489.06
  4. Step 4: Simplify right side
    7,143.53x = 44,248,215.51
  5. Step 5: Solve for x
    x = 44,248,215.51/7,143.53
  6. Step 6: Final answer
    x = 6,194.17

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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.