Home / 1,948.34-2,688.76-1,064.16

Finding the Fourth Proportional to 1,948.34, 2,688.76 and 1,064.16

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Solution

The fourth proportional to 1,948.34, 2,688.76 and 1,064.16 is: 1,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.34 : 2,688.76 = 1,064.16 : x
  2. Step 2: Convert to fraction form
    1,948.34/2,688.76 = 1,064.16/x
  3. Step 3: Cross multiply
    1,948.34x = 2,688.76 × 1,064.16
  4. Step 4: Simplify right side
    1,948.34x = 2,861,270.84
  5. Step 5: Solve for x
    x = 2,861,270.84/1,948.34
  6. Step 6: Final answer
    x = 1,468.57

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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.