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Finding the Fourth Proportional to 7,157.61, 9,876.36 and 4,643.17

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Solution

The fourth proportional to 7,157.61, 9,876.36 and 4,643.17 is: 6,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.61 : 9,876.36 = 4,643.17 : x
  2. Step 2: Convert to fraction form
    7,157.61/9,876.36 = 4,643.17/x
  3. Step 3: Cross multiply
    7,157.61x = 9,876.36 × 4,643.17
  4. Step 4: Simplify right side
    7,157.61x = 45,857,569.08
  5. Step 5: Solve for x
    x = 45,857,569.08/7,157.61
  6. Step 6: Final answer
    x = 6,406.83

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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.