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Finding the Fourth Proportional to 7,143.84, 9,859.68 and 4,349.16

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Solution

The fourth proportional to 7,143.84, 9,859.68 and 4,349.16 is: 6,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.84 : 9,859.68 = 4,349.16 : x
  2. Step 2: Convert to fraction form
    7,143.84/9,859.68 = 4,349.16/x
  3. Step 3: Cross multiply
    7,143.84x = 9,859.68 × 4,349.16
  4. Step 4: Simplify right side
    7,143.84x = 42,881,325.87
  5. Step 5: Solve for x
    x = 42,881,325.87/7,143.84
  6. Step 6: Final answer
    x = 6,002.56

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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.