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Finding the Fourth Proportional to 12,547.74, 17,315.91 and 6,958.74

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Solution

The fourth proportional to 12,547.74, 17,315.91 and 6,958.74 is: 9,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.74 : 17,315.91 = 6,958.74 : x
  2. Step 2: Convert to fraction form
    12,547.74/17,315.91 = 6,958.74/x
  3. Step 3: Cross multiply
    12,547.74x = 17,315.91 × 6,958.74
  4. Step 4: Simplify right side
    12,547.74x = 120,496,915.55
  5. Step 5: Solve for x
    x = 120,496,915.55/12,547.74
  6. Step 6: Final answer
    x = 9,603.08

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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.