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Finding the Fourth Proportional to 14,297.61, 19,731.90 and 7,925.76

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Solution

The fourth proportional to 14,297.61, 19,731.90 and 7,925.76 is: 10,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.61 : 19,731.90 = 7,925.76 : x
  2. Step 2: Convert to fraction form
    14,297.61/19,731.90 = 7,925.76/x
  3. Step 3: Cross multiply
    14,297.61x = 19,731.90 × 7,925.76
  4. Step 4: Simplify right side
    14,297.61x = 156,390,303.74
  5. Step 5: Solve for x
    x = 156,390,303.74/14,297.61
  6. Step 6: Final answer
    x = 10,938.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.