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Finding the Fourth Proportional to 8,902, 12,284.76 and 5,590

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Solution

The fourth proportional to 8,902, 12,284.76 and 5,590 is: 7,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902 : 12,284.76 = 5,590 : x
  2. Step 2: Convert to fraction form
    8,902/12,284.76 = 5,590/x
  3. Step 3: Cross multiply
    8,902x = 12,284.76 × 5,590
  4. Step 4: Simplify right side
    8,902x = 68,671,808.40
  5. Step 5: Solve for x
    x = 68,671,808.40/8,902
  6. Step 6: Final answer
    x = 7,714.20

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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.