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Finding the Fourth Proportional to 8,970.57, 12,385.22 and 8,412.93

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Solution

The fourth proportional to 8,970.57, 12,385.22 and 8,412.93 is: 11,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.57 : 12,385.22 = 8,412.93 : x
  2. Step 2: Convert to fraction form
    8,970.57/12,385.22 = 8,412.93/x
  3. Step 3: Cross multiply
    8,970.57x = 12,385.22 × 8,412.93
  4. Step 4: Simplify right side
    8,970.57x = 104,195,946.83
  5. Step 5: Solve for x
    x = 104,195,946.83/8,970.57
  6. Step 6: Final answer
    x = 11,615.31

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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.