Home / 9,705.64-14,560.31-3,130.06

Finding the Fourth Proportional to 9,705.64, 14,560.31 and 3,130.06

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Solution

The fourth proportional to 9,705.64, 14,560.31 and 3,130.06 is: 4,695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.64 : 14,560.31 = 3,130.06 : x
  2. Step 2: Convert to fraction form
    9,705.64/14,560.31 = 3,130.06/x
  3. Step 3: Cross multiply
    9,705.64x = 14,560.31 × 3,130.06
  4. Step 4: Simplify right side
    9,705.64x = 45,574,643.92
  5. Step 5: Solve for x
    x = 45,574,643.92/9,705.64
  6. Step 6: Final answer
    x = 4,695.69

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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.