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Finding the Fourth Proportional to 28,088.52, 42,135.20 and 7,312

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Solution

The fourth proportional to 28,088.52, 42,135.20 and 7,312 is: 10,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,088.52 : 42,135.20 = 7,312 : x
  2. Step 2: Convert to fraction form
    28,088.52/42,135.20 = 7,312/x
  3. Step 3: Cross multiply
    28,088.52x = 42,135.20 × 7,312
  4. Step 4: Simplify right side
    28,088.52x = 308,092,582.40
  5. Step 5: Solve for x
    x = 308,092,582.40/28,088.52
  6. Step 6: Final answer
    x = 10,968.63

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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.