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Finding the Fourth Proportional to 10,948.80, 16,408.80 and 9,710.40

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Solution

The fourth proportional to 10,948.80, 16,408.80 and 9,710.40 is: 14,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.80 : 16,408.80 = 9,710.40 : x
  2. Step 2: Convert to fraction form
    10,948.80/16,408.80 = 9,710.40/x
  3. Step 3: Cross multiply
    10,948.80x = 16,408.80 × 9,710.40
  4. Step 4: Simplify right side
    10,948.80x = 159,336,011.52
  5. Step 5: Solve for x
    x = 159,336,011.52/10,948.80
  6. Step 6: Final answer
    x = 14,552.83

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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.