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Finding the Fourth Proportional to 9,409.88, 12,982.68 and 5,430.47

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Solution

The fourth proportional to 9,409.88, 12,982.68 and 5,430.47 is: 7,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.88 : 12,982.68 = 5,430.47 : x
  2. Step 2: Convert to fraction form
    9,409.88/12,982.68 = 5,430.47/x
  3. Step 3: Cross multiply
    9,409.88x = 12,982.68 × 5,430.47
  4. Step 4: Simplify right side
    9,409.88x = 70,502,054.26
  5. Step 5: Solve for x
    x = 70,502,054.26/9,409.88
  6. Step 6: Final answer
    x = 7,492.34

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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.