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Finding the Fourth Proportional to 9,602.02, 14,405.07 and 5,444.02

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Solution

The fourth proportional to 9,602.02, 14,405.07 and 5,444.02 is: 8,167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.02 : 14,405.07 = 5,444.02 : x
  2. Step 2: Convert to fraction form
    9,602.02/14,405.07 = 5,444.02/x
  3. Step 3: Cross multiply
    9,602.02x = 14,405.07 × 5,444.02
  4. Step 4: Simplify right side
    9,602.02x = 78,421,489.18
  5. Step 5: Solve for x
    x = 78,421,489.18/9,602.02
  6. Step 6: Final answer
    x = 8,167.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.