Home / 10,931.60-16,400.10-3,140.40

Finding the Fourth Proportional to 10,931.60, 16,400.10 and 3,140.40

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Solution

The fourth proportional to 10,931.60, 16,400.10 and 3,140.40 is: 4,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.60 : 16,400.10 = 3,140.40 : x
  2. Step 2: Convert to fraction form
    10,931.60/16,400.10 = 3,140.40/x
  3. Step 3: Cross multiply
    10,931.60x = 16,400.10 × 3,140.40
  4. Step 4: Simplify right side
    10,931.60x = 51,502,874.04
  5. Step 5: Solve for x
    x = 51,502,874.04/10,931.60
  6. Step 6: Final answer
    x = 4,711.38

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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.