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Finding the Fourth Proportional to 9,349.72, 12,916.74 and 6,987.76

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Solution

The fourth proportional to 9,349.72, 12,916.74 and 6,987.76 is: 9,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.72 : 12,916.74 = 6,987.76 : x
  2. Step 2: Convert to fraction form
    9,349.72/12,916.74 = 6,987.76/x
  3. Step 3: Cross multiply
    9,349.72x = 12,916.74 × 6,987.76
  4. Step 4: Simplify right side
    9,349.72x = 90,259,079.10
  5. Step 5: Solve for x
    x = 90,259,079.10/9,349.72
  6. Step 6: Final answer
    x = 9,653.67

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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.