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Finding the Fourth Proportional to 7,848, 10,838.72 and 4,870.92

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Solution

The fourth proportional to 7,848, 10,838.72 and 4,870.92 is: 6,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 10,838.72 = 4,870.92 : x
  2. Step 2: Convert to fraction form
    7,848/10,838.72 = 4,870.92/x
  3. Step 3: Cross multiply
    7,848x = 10,838.72 × 4,870.92
  4. Step 4: Simplify right side
    7,848x = 52,794,538.02
  5. Step 5: Solve for x
    x = 52,794,538.02/7,848
  6. Step 6: Final answer
    x = 6,727.13

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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.