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Finding the Fourth Proportional to 7,165.60, 10,747.16 and 1,970.26

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Solution

The fourth proportional to 7,165.60, 10,747.16 and 1,970.26 is: 2,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.60 : 10,747.16 = 1,970.26 : x
  2. Step 2: Convert to fraction form
    7,165.60/10,747.16 = 1,970.26/x
  3. Step 3: Cross multiply
    7,165.60x = 10,747.16 × 1,970.26
  4. Step 4: Simplify right side
    7,165.60x = 21,174,699.46
  5. Step 5: Solve for x
    x = 21,174,699.46/7,165.60
  6. Step 6: Final answer
    x = 2,955.05

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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.