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Finding the Fourth Proportional to 28,465.68, 42,700.68 and 7,689

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Solution

The fourth proportional to 28,465.68, 42,700.68 and 7,689 is: 11,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,465.68 : 42,700.68 = 7,689 : x
  2. Step 2: Convert to fraction form
    28,465.68/42,700.68 = 7,689/x
  3. Step 3: Cross multiply
    28,465.68x = 42,700.68 × 7,689
  4. Step 4: Simplify right side
    28,465.68x = 328,325,528.52
  5. Step 5: Solve for x
    x = 328,325,528.52/28,465.68
  6. Step 6: Final answer
    x = 11,534.08

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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.