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Finding the Fourth Proportional to 8,460, 12,688.71 and 4,951.62

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Solution

The fourth proportional to 8,460, 12,688.71 and 4,951.62 is: 7,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460 : 12,688.71 = 4,951.62 : x
  2. Step 2: Convert to fraction form
    8,460/12,688.71 = 4,951.62/x
  3. Step 3: Cross multiply
    8,460x = 12,688.71 × 4,951.62
  4. Step 4: Simplify right side
    8,460x = 62,829,670.21
  5. Step 5: Solve for x
    x = 62,829,670.21/8,460
  6. Step 6: Final answer
    x = 7,426.67

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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.