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Finding the Fourth Proportional to 9,101.70, 12,560.93 and 5,123.18

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Solution

The fourth proportional to 9,101.70, 12,560.93 and 5,123.18 is: 7,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.70 : 12,560.93 = 5,123.18 : x
  2. Step 2: Convert to fraction form
    9,101.70/12,560.93 = 5,123.18/x
  3. Step 3: Cross multiply
    9,101.70x = 12,560.93 × 5,123.18
  4. Step 4: Simplify right side
    9,101.70x = 64,351,816.94
  5. Step 5: Solve for x
    x = 64,351,816.94/9,101.70
  6. Step 6: Final answer
    x = 7,070.31

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Half scale
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Double scale
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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.