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Finding the Fourth Proportional to 11,527.90, 15,898 and 7,547.56

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Solution

The fourth proportional to 11,527.90, 15,898 and 7,547.56 is: 10,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.90 : 15,898 = 7,547.56 : x
  2. Step 2: Convert to fraction form
    11,527.90/15,898 = 7,547.56/x
  3. Step 3: Cross multiply
    11,527.90x = 15,898 × 7,547.56
  4. Step 4: Simplify right side
    11,527.90x = 119,991,108.88
  5. Step 5: Solve for x
    x = 119,991,108.88/11,527.90
  6. Step 6: Final answer
    x = 10,408.76

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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.