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Finding the Fourth Proportional to 6,447, 8,897.58 and 3,653.40

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Solution

The fourth proportional to 6,447, 8,897.58 and 3,653.40 is: 5,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447 : 8,897.58 = 3,653.40 : x
  2. Step 2: Convert to fraction form
    6,447/8,897.58 = 3,653.40/x
  3. Step 3: Cross multiply
    6,447x = 8,897.58 × 3,653.40
  4. Step 4: Simplify right side
    6,447x = 32,506,418.77
  5. Step 5: Solve for x
    x = 32,506,418.77/6,447
  6. Step 6: Final answer
    x = 5,042.10

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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.