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Finding the Fourth Proportional to 9,409.04, 12,978.60 and 7,542.80

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Solution

The fourth proportional to 9,409.04, 12,978.60 and 7,542.80 is: 10,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.04 : 12,978.60 = 7,542.80 : x
  2. Step 2: Convert to fraction form
    9,409.04/12,978.60 = 7,542.80/x
  3. Step 3: Cross multiply
    9,409.04x = 12,978.60 × 7,542.80
  4. Step 4: Simplify right side
    9,409.04x = 97,894,984.08
  5. Step 5: Solve for x
    x = 97,894,984.08/9,409.04
  6. Step 6: Final answer
    x = 10,404.35

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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.