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Finding the Fourth Proportional to 20,352, 28,085.76 and 11,520

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Solution

The fourth proportional to 20,352, 28,085.76 and 11,520 is: 15,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,352 : 28,085.76 = 11,520 : x
  2. Step 2: Convert to fraction form
    20,352/28,085.76 = 11,520/x
  3. Step 3: Cross multiply
    20,352x = 28,085.76 × 11,520
  4. Step 4: Simplify right side
    20,352x = 323,547,955.20
  5. Step 5: Solve for x
    x = 323,547,955.20/20,352
  6. Step 6: Final answer
    x = 15,897.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.