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Finding the Fourth Proportional to 3,671.76, 5,068.36 and 2,430.16

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Solution

The fourth proportional to 3,671.76, 5,068.36 and 2,430.16 is: 3,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.76 : 5,068.36 = 2,430.16 : x
  2. Step 2: Convert to fraction form
    3,671.76/5,068.36 = 2,430.16/x
  3. Step 3: Cross multiply
    3,671.76x = 5,068.36 × 2,430.16
  4. Step 4: Simplify right side
    3,671.76x = 12,316,925.74
  5. Step 5: Solve for x
    x = 12,316,925.74/3,671.76
  6. Step 6: Final answer
    x = 3,354.50

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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.