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Finding the Fourth Proportional to 7,864.76, 10,849.74 and 5,071.16

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Solution

The fourth proportional to 7,864.76, 10,849.74 and 5,071.16 is: 6,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.76 : 10,849.74 = 5,071.16 : x
  2. Step 2: Convert to fraction form
    7,864.76/10,849.74 = 5,071.16/x
  3. Step 3: Cross multiply
    7,864.76x = 10,849.74 × 5,071.16
  4. Step 4: Simplify right side
    7,864.76x = 55,020,767.50
  5. Step 5: Solve for x
    x = 55,020,767.50/7,864.76
  6. Step 6: Final answer
    x = 6,995.86

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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.