Home / 1,564.65-2,158.83-974.76

Finding the Fourth Proportional to 1,564.65, 2,158.83 and 974.76

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Solution

The fourth proportional to 1,564.65, 2,158.83 and 974.76 is: 1,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.65 : 2,158.83 = 974.76 : x
  2. Step 2: Convert to fraction form
    1,564.65/2,158.83 = 974.76/x
  3. Step 3: Cross multiply
    1,564.65x = 2,158.83 × 974.76
  4. Step 4: Simplify right side
    1,564.65x = 2,104,341.13
  5. Step 5: Solve for x
    x = 2,104,341.13/1,564.65
  6. Step 6: Final answer
    x = 1,344.93

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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.