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Finding the Fourth Proportional to 18,897.16, 28,345.02 and 7,801

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Solution

The fourth proportional to 18,897.16, 28,345.02 and 7,801 is: 11,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,897.16 : 28,345.02 = 7,801 : x
  2. Step 2: Convert to fraction form
    18,897.16/28,345.02 = 7,801/x
  3. Step 3: Cross multiply
    18,897.16x = 28,345.02 × 7,801
  4. Step 4: Simplify right side
    18,897.16x = 221,119,501.02
  5. Step 5: Solve for x
    x = 221,119,501.02/18,897.16
  6. Step 6: Final answer
    x = 11,701.20

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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.