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Finding the Fourth Proportional to 12,547.68, 17,316 and 7,242.96

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Solution

The fourth proportional to 12,547.68, 17,316 and 7,242.96 is: 9,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.68 : 17,316 = 7,242.96 : x
  2. Step 2: Convert to fraction form
    12,547.68/17,316 = 7,242.96/x
  3. Step 3: Cross multiply
    12,547.68x = 17,316 × 7,242.96
  4. Step 4: Simplify right side
    12,547.68x = 125,419,095.36
  5. Step 5: Solve for x
    x = 125,419,095.36/12,547.68
  6. Step 6: Final answer
    x = 9,995.40

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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.