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Finding the Fourth Proportional to 1,560.65, 2,152.73 and 930.74

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Solution

The fourth proportional to 1,560.65, 2,152.73 and 930.74 is: 1,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.65 : 2,152.73 = 930.74 : x
  2. Step 2: Convert to fraction form
    1,560.65/2,152.73 = 930.74/x
  3. Step 3: Cross multiply
    1,560.65x = 2,152.73 × 930.74
  4. Step 4: Simplify right side
    1,560.65x = 2,003,623.48
  5. Step 5: Solve for x
    x = 2,003,623.48/1,560.65
  6. Step 6: Final answer
    x = 1,283.84

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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.