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Finding the Fourth Proportional to 9,613, 14,420.45 and 2,687.50

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Solution

The fourth proportional to 9,613, 14,420.45 and 2,687.50 is: 4,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613 : 14,420.45 = 2,687.50 : x
  2. Step 2: Convert to fraction form
    9,613/14,420.45 = 2,687.50/x
  3. Step 3: Cross multiply
    9,613x = 14,420.45 × 2,687.50
  4. Step 4: Simplify right side
    9,613x = 38,754,959.38
  5. Step 5: Solve for x
    x = 38,754,959.38/9,613
  6. Step 6: Final answer
    x = 4,031.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.