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Finding the Fourth Proportional to 25,430.66, 38,157.32 and 9,849.50

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Solution

The fourth proportional to 25,430.66, 38,157.32 and 9,849.50 is: 14,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,430.66 : 38,157.32 = 9,849.50 : x
  2. Step 2: Convert to fraction form
    25,430.66/38,157.32 = 9,849.50/x
  3. Step 3: Cross multiply
    25,430.66x = 38,157.32 × 9,849.50
  4. Step 4: Simplify right side
    25,430.66x = 375,830,523.34
  5. Step 5: Solve for x
    x = 375,830,523.34/25,430.66
  6. Step 6: Final answer
    x = 14,778.64

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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.