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Finding the Fourth Proportional to 2,356.64, 3,248.64 and 1,570.40

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Solution

The fourth proportional to 2,356.64, 3,248.64 and 1,570.40 is: 2,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.64 : 3,248.64 = 1,570.40 : x
  2. Step 2: Convert to fraction form
    2,356.64/3,248.64 = 1,570.40/x
  3. Step 3: Cross multiply
    2,356.64x = 3,248.64 × 1,570.40
  4. Step 4: Simplify right side
    2,356.64x = 5,101,664.26
  5. Step 5: Solve for x
    x = 5,101,664.26/2,356.64
  6. Step 6: Final answer
    x = 2,164.80

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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.