Home / 3,314.19-4,970.03-973.70

Finding the Fourth Proportional to 3,314.19, 4,970.03 and 973.70

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Solution

The fourth proportional to 3,314.19, 4,970.03 and 973.70 is: 1,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.19 : 4,970.03 = 973.70 : x
  2. Step 2: Convert to fraction form
    3,314.19/4,970.03 = 973.70/x
  3. Step 3: Cross multiply
    3,314.19x = 4,970.03 × 973.70
  4. Step 4: Simplify right side
    3,314.19x = 4,839,307.13
  5. Step 5: Solve for x
    x = 4,839,307.13/3,314.19
  6. Step 6: Final answer
    x = 1,460.18

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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.