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Finding the Fourth Proportional to 10,592.40, 15,894.72 and 9,780.60

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Solution

The fourth proportional to 10,592.40, 15,894.72 and 9,780.60 is: 14,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.40 : 15,894.72 = 9,780.60 : x
  2. Step 2: Convert to fraction form
    10,592.40/15,894.72 = 9,780.60/x
  3. Step 3: Cross multiply
    10,592.40x = 15,894.72 × 9,780.60
  4. Step 4: Simplify right side
    10,592.40x = 155,459,898.43
  5. Step 5: Solve for x
    x = 155,459,898.43/10,592.40
  6. Step 6: Final answer
    x = 14,676.55

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1.5x scale

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.