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Finding the Fourth Proportional to 9,898.61, 14,828.77 and 6,771.20

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Solution

The fourth proportional to 9,898.61, 14,828.77 and 6,771.20 is: 10,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.61 : 14,828.77 = 6,771.20 : x
  2. Step 2: Convert to fraction form
    9,898.61/14,828.77 = 6,771.20/x
  3. Step 3: Cross multiply
    9,898.61x = 14,828.77 × 6,771.20
  4. Step 4: Simplify right side
    9,898.61x = 100,408,501.74
  5. Step 5: Solve for x
    x = 100,408,501.74/9,898.61
  6. Step 6: Final answer
    x = 10,143.70

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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.