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Finding the Fourth Proportional to 9,409.07, 12,985.13 and 5,430.45

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Solution

The fourth proportional to 9,409.07, 12,985.13 and 5,430.45 is: 7,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.07 : 12,985.13 = 5,430.45 : x
  2. Step 2: Convert to fraction form
    9,409.07/12,985.13 = 5,430.45/x
  3. Step 3: Cross multiply
    9,409.07x = 12,985.13 × 5,430.45
  4. Step 4: Simplify right side
    9,409.07x = 70,515,072.06
  5. Step 5: Solve for x
    x = 70,515,072.06/9,409.07
  6. Step 6: Final answer
    x = 7,494.38

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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.