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Finding the Fourth Proportional to 9,711.50, 13,404.08 and 6,875.93

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Solution

The fourth proportional to 9,711.50, 13,404.08 and 6,875.93 is: 9,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.50 : 13,404.08 = 6,875.93 : x
  2. Step 2: Convert to fraction form
    9,711.50/13,404.08 = 6,875.93/x
  3. Step 3: Cross multiply
    9,711.50x = 13,404.08 × 6,875.93
  4. Step 4: Simplify right side
    9,711.50x = 92,165,515.79
  5. Step 5: Solve for x
    x = 92,165,515.79/9,711.50
  6. Step 6: Final answer
    x = 9,490.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.