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Finding the Fourth Proportional to 7,952.02, 10,975.80 and 5,435.14

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Solution

The fourth proportional to 7,952.02, 10,975.80 and 5,435.14 is: 7,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.02 : 10,975.80 = 5,435.14 : x
  2. Step 2: Convert to fraction form
    7,952.02/10,975.80 = 5,435.14/x
  3. Step 3: Cross multiply
    7,952.02x = 10,975.80 × 5,435.14
  4. Step 4: Simplify right side
    7,952.02x = 59,655,009.61
  5. Step 5: Solve for x
    x = 59,655,009.61/7,952.02
  6. Step 6: Final answer
    x = 7,501.87

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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.