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Finding the Fourth Proportional to 12,647.59, 17,459.65 and 11,448.16

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Solution

The fourth proportional to 12,647.59, 17,459.65 and 11,448.16 is: 15,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.59 : 17,459.65 = 11,448.16 : x
  2. Step 2: Convert to fraction form
    12,647.59/17,459.65 = 11,448.16/x
  3. Step 3: Cross multiply
    12,647.59x = 17,459.65 × 11,448.16
  4. Step 4: Simplify right side
    12,647.59x = 199,880,886.51
  5. Step 5: Solve for x
    x = 199,880,886.51/12,647.59
  6. Step 6: Final answer
    x = 15,803.87

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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.