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Finding the Fourth Proportional to 14,487.16, 19,985.19 and 9,449.08

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Solution

The fourth proportional to 14,487.16, 19,985.19 and 9,449.08 is: 13,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.16 : 19,985.19 = 9,449.08 : x
  2. Step 2: Convert to fraction form
    14,487.16/19,985.19 = 9,449.08/x
  3. Step 3: Cross multiply
    14,487.16x = 19,985.19 × 9,449.08
  4. Step 4: Simplify right side
    14,487.16x = 188,841,659.13
  5. Step 5: Solve for x
    x = 188,841,659.13/14,487.16
  6. Step 6: Final answer
    x = 13,035.11

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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.