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Finding the Fourth Proportional to 21,312.74, 31,962.63 and 7,458.50

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Solution

The fourth proportional to 21,312.74, 31,962.63 and 7,458.50 is: 11,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312.74 : 31,962.63 = 7,458.50 : x
  2. Step 2: Convert to fraction form
    21,312.74/31,962.63 = 7,458.50/x
  3. Step 3: Cross multiply
    21,312.74x = 31,962.63 × 7,458.50
  4. Step 4: Simplify right side
    21,312.74x = 238,393,275.86
  5. Step 5: Solve for x
    x = 238,393,275.86/21,312.74
  6. Step 6: Final answer
    x = 11,185.48

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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.