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Finding the Fourth Proportional to 7,856.61, 10,842.09 and 4,271.55

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Solution

The fourth proportional to 7,856.61, 10,842.09 and 4,271.55 is: 5,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.61 : 10,842.09 = 4,271.55 : x
  2. Step 2: Convert to fraction form
    7,856.61/10,842.09 = 4,271.55/x
  3. Step 3: Cross multiply
    7,856.61x = 10,842.09 × 4,271.55
  4. Step 4: Simplify right side
    7,856.61x = 46,312,529.54
  5. Step 5: Solve for x
    x = 46,312,529.54/7,856.61
  6. Step 6: Final answer
    x = 5,894.72

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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.