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Finding the Fourth Proportional to 10,780.62, 14,877.48 and 6,307.62

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Solution

The fourth proportional to 10,780.62, 14,877.48 and 6,307.62 is: 8,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.62 : 14,877.48 = 6,307.62 : x
  2. Step 2: Convert to fraction form
    10,780.62/14,877.48 = 6,307.62/x
  3. Step 3: Cross multiply
    10,780.62x = 14,877.48 × 6,307.62
  4. Step 4: Simplify right side
    10,780.62x = 93,841,490.40
  5. Step 5: Solve for x
    x = 93,841,490.40/10,780.62
  6. Step 6: Final answer
    x = 8,704.65

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1.5x scale

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.