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Finding the Fourth Proportional to 7,298.64, 10,941.40 and 7,078.32

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Solution

The fourth proportional to 7,298.64, 10,941.40 and 7,078.32 is: 10,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.64 : 10,941.40 = 7,078.32 : x
  2. Step 2: Convert to fraction form
    7,298.64/10,941.40 = 7,078.32/x
  3. Step 3: Cross multiply
    7,298.64x = 10,941.40 × 7,078.32
  4. Step 4: Simplify right side
    7,298.64x = 77,446,730.45
  5. Step 5: Solve for x
    x = 77,446,730.45/7,298.64
  6. Step 6: Final answer
    x = 10,611.12

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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.