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Finding the Fourth Proportional to 8,917.47, 12,312.12 and 7,970.22

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Solution

The fourth proportional to 8,917.47, 12,312.12 and 7,970.22 is: 11,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.47 : 12,312.12 = 7,970.22 : x
  2. Step 2: Convert to fraction form
    8,917.47/12,312.12 = 7,970.22/x
  3. Step 3: Cross multiply
    8,917.47x = 12,312.12 × 7,970.22
  4. Step 4: Simplify right side
    8,917.47x = 98,130,305.07
  5. Step 5: Solve for x
    x = 98,130,305.07/8,917.47
  6. Step 6: Final answer
    x = 11,004.28

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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.