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Finding the Fourth Proportional to 12,615.64, 17,407.94 and 7,309.32

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Solution

The fourth proportional to 12,615.64, 17,407.94 and 7,309.32 is: 10,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.64 : 17,407.94 = 7,309.32 : x
  2. Step 2: Convert to fraction form
    12,615.64/17,407.94 = 7,309.32/x
  3. Step 3: Cross multiply
    12,615.64x = 17,407.94 × 7,309.32
  4. Step 4: Simplify right side
    12,615.64x = 127,240,204.00
  5. Step 5: Solve for x
    x = 127,240,204.00/12,615.64
  6. Step 6: Final answer
    x = 10,085.91

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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.