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Finding the Fourth Proportional to 9,815.20, 14,722.80 and 5,430.40

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Solution

The fourth proportional to 9,815.20, 14,722.80 and 5,430.40 is: 8,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.20 : 14,722.80 = 5,430.40 : x
  2. Step 2: Convert to fraction form
    9,815.20/14,722.80 = 5,430.40/x
  3. Step 3: Cross multiply
    9,815.20x = 14,722.80 × 5,430.40
  4. Step 4: Simplify right side
    9,815.20x = 79,950,693.12
  5. Step 5: Solve for x
    x = 79,950,693.12/9,815.20
  6. Step 6: Final answer
    x = 8,145.60

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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.