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Finding the Fourth Proportional to 9,503.20, 14,254.80 and 2,931.40

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Solution

The fourth proportional to 9,503.20, 14,254.80 and 2,931.40 is: 4,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.20 : 14,254.80 = 2,931.40 : x
  2. Step 2: Convert to fraction form
    9,503.20/14,254.80 = 2,931.40/x
  3. Step 3: Cross multiply
    9,503.20x = 14,254.80 × 2,931.40
  4. Step 4: Simplify right side
    9,503.20x = 41,786,520.72
  5. Step 5: Solve for x
    x = 41,786,520.72/9,503.20
  6. Step 6: Final answer
    x = 4,397.10

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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.