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Finding the Fourth Proportional to 28,388.36, 42,577.68 and 7,607

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Solution

The fourth proportional to 28,388.36, 42,577.68 and 7,607 is: 11,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,388.36 : 42,577.68 = 7,607 : x
  2. Step 2: Convert to fraction form
    28,388.36/42,577.68 = 7,607/x
  3. Step 3: Cross multiply
    28,388.36x = 42,577.68 × 7,607
  4. Step 4: Simplify right side
    28,388.36x = 323,888,411.76
  5. Step 5: Solve for x
    x = 323,888,411.76/28,388.36
  6. Step 6: Final answer
    x = 11,409.20

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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.