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Finding the Fourth Proportional to 7,643, 10,547.50 and 4,331

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Solution

The fourth proportional to 7,643, 10,547.50 and 4,331 is: 5,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643 : 10,547.50 = 4,331 : x
  2. Step 2: Convert to fraction form
    7,643/10,547.50 = 4,331/x
  3. Step 3: Cross multiply
    7,643x = 10,547.50 × 4,331
  4. Step 4: Simplify right side
    7,643x = 45,681,222.50
  5. Step 5: Solve for x
    x = 45,681,222.50/7,643
  6. Step 6: Final answer
    x = 5,976.87

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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.