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Finding the Fourth Proportional to 7,940.30, 10,962.96 and 7,098.32

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Solution

The fourth proportional to 7,940.30, 10,962.96 and 7,098.32 is: 9,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.30 : 10,962.96 = 7,098.32 : x
  2. Step 2: Convert to fraction form
    7,940.30/10,962.96 = 7,098.32/x
  3. Step 3: Cross multiply
    7,940.30x = 10,962.96 × 7,098.32
  4. Step 4: Simplify right side
    7,940.30x = 77,818,598.23
  5. Step 5: Solve for x
    x = 77,818,598.23/7,940.30
  6. Step 6: Final answer
    x = 9,800.46

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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.