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Finding the Fourth Proportional to 7,342.10, 9,919.13 and 7,342.10

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Solution

The fourth proportional to 7,342.10, 9,919.13 and 7,342.10 is: 9,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.10 : 9,919.13 = 7,342.10 : x
  2. Step 2: Convert to fraction form
    7,342.10/9,919.13 = 7,342.10/x
  3. Step 3: Cross multiply
    7,342.10x = 9,919.13 × 7,342.10
  4. Step 4: Simplify right side
    7,342.10x = 72,827,244.37
  5. Step 5: Solve for x
    x = 72,827,244.37/7,342.10
  6. Step 6: Final answer
    x = 9,919.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.