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Finding the Fourth Proportional to 7,859, 10,845.94 and 4,547

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Solution

The fourth proportional to 7,859, 10,845.94 and 4,547 is: 6,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859 : 10,845.94 = 4,547 : x
  2. Step 2: Convert to fraction form
    7,859/10,845.94 = 4,547/x
  3. Step 3: Cross multiply
    7,859x = 10,845.94 × 4,547
  4. Step 4: Simplify right side
    7,859x = 49,316,489.18
  5. Step 5: Solve for x
    x = 49,316,489.18/7,859
  6. Step 6: Final answer
    x = 6,275.16

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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.