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Finding the Fourth Proportional to 9,720.63, 13,416.08 and 7,358.67

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Solution

The fourth proportional to 9,720.63, 13,416.08 and 7,358.67 is: 10,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.63 : 13,416.08 = 7,358.67 : x
  2. Step 2: Convert to fraction form
    9,720.63/13,416.08 = 7,358.67/x
  3. Step 3: Cross multiply
    9,720.63x = 13,416.08 × 7,358.67
  4. Step 4: Simplify right side
    9,720.63x = 98,724,505.41
  5. Step 5: Solve for x
    x = 98,724,505.41/9,720.63
  6. Step 6: Final answer
    x = 10,156.18

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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.