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Finding the Fourth Proportional to 9,409.85, 12,987.29 and 5,430.41

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Solution

The fourth proportional to 9,409.85, 12,987.29 and 5,430.41 is: 7,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.85 : 12,987.29 = 5,430.41 : x
  2. Step 2: Convert to fraction form
    9,409.85/12,987.29 = 5,430.41/x
  3. Step 3: Cross multiply
    9,409.85x = 12,987.29 × 5,430.41
  4. Step 4: Simplify right side
    9,409.85x = 70,526,309.49
  5. Step 5: Solve for x
    x = 70,526,309.49/9,409.85
  6. Step 6: Final answer
    x = 7,494.95

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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.