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Finding the Fourth Proportional to 11,258.69, 15,537 and 6,782.63

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Solution

The fourth proportional to 11,258.69, 15,537 and 6,782.63 is: 9,360.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258.69 : 15,537 = 6,782.63 : x
  2. Step 2: Convert to fraction form
    11,258.69/15,537 = 6,782.63/x
  3. Step 3: Cross multiply
    11,258.69x = 15,537 × 6,782.63
  4. Step 4: Simplify right side
    11,258.69x = 105,381,644.63
  5. Step 5: Solve for x
    x = 105,381,644.63/11,258.69
  6. Step 6: Final answer
    x = 9,360.03

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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.