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Finding the Fourth Proportional to 28,616.52, 42,927.20 and 7,840

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Solution

The fourth proportional to 28,616.52, 42,927.20 and 7,840 is: 11,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,616.52 : 42,927.20 = 7,840 : x
  2. Step 2: Convert to fraction form
    28,616.52/42,927.20 = 7,840/x
  3. Step 3: Cross multiply
    28,616.52x = 42,927.20 × 7,840
  4. Step 4: Simplify right side
    28,616.52x = 336,549,248
  5. Step 5: Solve for x
    x = 336,549,248/28,616.52
  6. Step 6: Final answer
    x = 11,760.66

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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.