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Finding the Fourth Proportional to 4,619.76, 6,929.60 and 1,157

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Solution

The fourth proportional to 4,619.76, 6,929.60 and 1,157 is: 1,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.76 : 6,929.60 = 1,157 : x
  2. Step 2: Convert to fraction form
    4,619.76/6,929.60 = 1,157/x
  3. Step 3: Cross multiply
    4,619.76x = 6,929.60 × 1,157
  4. Step 4: Simplify right side
    4,619.76x = 8,017,547.20
  5. Step 5: Solve for x
    x = 8,017,547.20/4,619.76
  6. Step 6: Final answer
    x = 1,735.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.