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Finding the Fourth Proportional to 8,335, 12,502.50 and 3,407.32

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Solution

The fourth proportional to 8,335, 12,502.50 and 3,407.32 is: 5,110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335 : 12,502.50 = 3,407.32 : x
  2. Step 2: Convert to fraction form
    8,335/12,502.50 = 3,407.32/x
  3. Step 3: Cross multiply
    8,335x = 12,502.50 × 3,407.32
  4. Step 4: Simplify right side
    8,335x = 42,600,018.30
  5. Step 5: Solve for x
    x = 42,600,018.30/8,335
  6. Step 6: Final answer
    x = 5,110.98

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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.