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Finding the Fourth Proportional to 13,021.54, 17,968.64 and 7,643.40

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Solution

The fourth proportional to 13,021.54, 17,968.64 and 7,643.40 is: 10,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.54 : 17,968.64 = 7,643.40 : x
  2. Step 2: Convert to fraction form
    13,021.54/17,968.64 = 7,643.40/x
  3. Step 3: Cross multiply
    13,021.54x = 17,968.64 × 7,643.40
  4. Step 4: Simplify right side
    13,021.54x = 137,341,502.98
  5. Step 5: Solve for x
    x = 137,341,502.98/13,021.54
  6. Step 6: Final answer
    x = 10,547.26

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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.