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Finding the Fourth Proportional to 9,386.70, 12,954.87 and 5,407.98

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Solution

The fourth proportional to 9,386.70, 12,954.87 and 5,407.98 is: 7,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.70 : 12,954.87 = 5,407.98 : x
  2. Step 2: Convert to fraction form
    9,386.70/12,954.87 = 5,407.98/x
  3. Step 3: Cross multiply
    9,386.70x = 12,954.87 × 5,407.98
  4. Step 4: Simplify right side
    9,386.70x = 70,059,677.86
  5. Step 5: Solve for x
    x = 70,059,677.86/9,386.70
  6. Step 6: Final answer
    x = 7,463.72

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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.