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Finding the Fourth Proportional to 21,950.98, 32,931.71 and 7,159.91

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Solution

The fourth proportional to 21,950.98, 32,931.71 and 7,159.91 is: 10,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,950.98 : 32,931.71 = 7,159.91 : x
  2. Step 2: Convert to fraction form
    21,950.98/32,931.71 = 7,159.91/x
  3. Step 3: Cross multiply
    21,950.98x = 32,931.71 × 7,159.91
  4. Step 4: Simplify right side
    21,950.98x = 235,788,079.75
  5. Step 5: Solve for x
    x = 235,788,079.75/21,950.98
  6. Step 6: Final answer
    x = 10,741.57

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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.