Home / 1,547.60-2,317.80-1,180.40

Finding the Fourth Proportional to 1,547.60, 2,317.80 and 1,180.40

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Solution

The fourth proportional to 1,547.60, 2,317.80 and 1,180.40 is: 1,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.60 : 2,317.80 = 1,180.40 : x
  2. Step 2: Convert to fraction form
    1,547.60/2,317.80 = 1,180.40/x
  3. Step 3: Cross multiply
    1,547.60x = 2,317.80 × 1,180.40
  4. Step 4: Simplify right side
    1,547.60x = 2,735,931.12
  5. Step 5: Solve for x
    x = 2,735,931.12/1,547.60
  6. Step 6: Final answer
    x = 1,767.85

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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.