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Finding the Fourth Proportional to 21,356.61, 32,031.63 and 7,125.34

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Solution

The fourth proportional to 21,356.61, 32,031.63 and 7,125.34 is: 10,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.61 : 32,031.63 = 7,125.34 : x
  2. Step 2: Convert to fraction form
    21,356.61/32,031.63 = 7,125.34/x
  3. Step 3: Cross multiply
    21,356.61x = 32,031.63 × 7,125.34
  4. Step 4: Simplify right side
    21,356.61x = 228,236,254.50
  5. Step 5: Solve for x
    x = 228,236,254.50/21,356.61
  6. Step 6: Final answer
    x = 10,686.91

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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.