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Finding the Fourth Proportional to 9,409.60, 12,986.94 and 5,430.16

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Solution

The fourth proportional to 9,409.60, 12,986.94 and 5,430.16 is: 7,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.60 : 12,986.94 = 5,430.16 : x
  2. Step 2: Convert to fraction form
    9,409.60/12,986.94 = 5,430.16/x
  3. Step 3: Cross multiply
    9,409.60x = 12,986.94 × 5,430.16
  4. Step 4: Simplify right side
    9,409.60x = 70,521,162.11
  5. Step 5: Solve for x
    x = 70,521,162.11/9,409.60
  6. Step 6: Final answer
    x = 7,494.60

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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.