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Finding the Fourth Proportional to 7,953.60, 10,971.06 and 5,120.04

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Solution

The fourth proportional to 7,953.60, 10,971.06 and 5,120.04 is: 7,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.60 : 10,971.06 = 5,120.04 : x
  2. Step 2: Convert to fraction form
    7,953.60/10,971.06 = 5,120.04/x
  3. Step 3: Cross multiply
    7,953.60x = 10,971.06 × 5,120.04
  4. Step 4: Simplify right side
    7,953.60x = 56,172,266.04
  5. Step 5: Solve for x
    x = 56,172,266.04/7,953.60
  6. Step 6: Final answer
    x = 7,062.50

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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.