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Finding the Fourth Proportional to 1,564.54, 2,334.80 and 1,432.10

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Solution

The fourth proportional to 1,564.54, 2,334.80 and 1,432.10 is: 2,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.54 : 2,334.80 = 1,432.10 : x
  2. Step 2: Convert to fraction form
    1,564.54/2,334.80 = 1,432.10/x
  3. Step 3: Cross multiply
    1,564.54x = 2,334.80 × 1,432.10
  4. Step 4: Simplify right side
    1,564.54x = 3,343,667.08
  5. Step 5: Solve for x
    x = 3,343,667.08/1,564.54
  6. Step 6: Final answer
    x = 2,137.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.