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Finding the Fourth Proportional to 8,970.72, 13,438.24 and 7,013.76

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Solution

The fourth proportional to 8,970.72, 13,438.24 and 7,013.76 is: 10,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.72 : 13,438.24 = 7,013.76 : x
  2. Step 2: Convert to fraction form
    8,970.72/13,438.24 = 7,013.76/x
  3. Step 3: Cross multiply
    8,970.72x = 13,438.24 × 7,013.76
  4. Step 4: Simplify right side
    8,970.72x = 94,252,590.18
  5. Step 5: Solve for x
    x = 94,252,590.18/8,970.72
  6. Step 6: Final answer
    x = 10,506.69

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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.