Home / 1,477.10-2,038.38-917.54

Finding the Fourth Proportional to 1,477.10, 2,038.38 and 917.54

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Solution

The fourth proportional to 1,477.10, 2,038.38 and 917.54 is: 1,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.10 : 2,038.38 = 917.54 : x
  2. Step 2: Convert to fraction form
    1,477.10/2,038.38 = 917.54/x
  3. Step 3: Cross multiply
    1,477.10x = 2,038.38 × 917.54
  4. Step 4: Simplify right side
    1,477.10x = 1,870,295.19
  5. Step 5: Solve for x
    x = 1,870,295.19/1,477.10
  6. Step 6: Final answer
    x = 1,266.19

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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.