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Finding the Fourth Proportional to 10,415.68, 15,625.92 and 3,490

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Solution

The fourth proportional to 10,415.68, 15,625.92 and 3,490 is: 5,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.68 : 15,625.92 = 3,490 : x
  2. Step 2: Convert to fraction form
    10,415.68/15,625.92 = 3,490/x
  3. Step 3: Cross multiply
    10,415.68x = 15,625.92 × 3,490
  4. Step 4: Simplify right side
    10,415.68x = 54,534,460.80
  5. Step 5: Solve for x
    x = 54,534,460.80/10,415.68
  6. Step 6: Final answer
    x = 5,235.80

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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.