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Finding the Fourth Proportional to 9,970.48, 14,950.47 and 4,421.42

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Solution

The fourth proportional to 9,970.48, 14,950.47 and 4,421.42 is: 6,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.48 : 14,950.47 = 4,421.42 : x
  2. Step 2: Convert to fraction form
    9,970.48/14,950.47 = 4,421.42/x
  3. Step 3: Cross multiply
    9,970.48x = 14,950.47 × 4,421.42
  4. Step 4: Simplify right side
    9,970.48x = 66,102,304.96
  5. Step 5: Solve for x
    x = 66,102,304.96/9,970.48
  6. Step 6: Final answer
    x = 6,629.80

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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.