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Finding the Fourth Proportional to 12,547, 17,314.66 and 6,881.88

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Solution

The fourth proportional to 12,547, 17,314.66 and 6,881.88 is: 9,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547 : 17,314.66 = 6,881.88 : x
  2. Step 2: Convert to fraction form
    12,547/17,314.66 = 6,881.88/x
  3. Step 3: Cross multiply
    12,547x = 17,314.66 × 6,881.88
  4. Step 4: Simplify right side
    12,547x = 119,157,412.36
  5. Step 5: Solve for x
    x = 119,157,412.36/12,547
  6. Step 6: Final answer
    x = 9,496.88

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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.