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Finding the Fourth Proportional to 12,650.51, 17,457.25 and 6,985.13

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Solution

The fourth proportional to 12,650.51, 17,457.25 and 6,985.13 is: 9,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.51 : 17,457.25 = 6,985.13 : x
  2. Step 2: Convert to fraction form
    12,650.51/17,457.25 = 6,985.13/x
  3. Step 3: Cross multiply
    12,650.51x = 17,457.25 × 6,985.13
  4. Step 4: Simplify right side
    12,650.51x = 121,941,160.69
  5. Step 5: Solve for x
    x = 121,941,160.69/12,650.51
  6. Step 6: Final answer
    x = 9,639.23

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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.