Home / 1,315.90-1,972.59-1,007.02

Finding the Fourth Proportional to 1,315.90, 1,972.59 and 1,007.02

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Solution

The fourth proportional to 1,315.90, 1,972.59 and 1,007.02 is: 1,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.90 : 1,972.59 = 1,007.02 : x
  2. Step 2: Convert to fraction form
    1,315.90/1,972.59 = 1,007.02/x
  3. Step 3: Cross multiply
    1,315.90x = 1,972.59 × 1,007.02
  4. Step 4: Simplify right side
    1,315.90x = 1,986,437.58
  5. Step 5: Solve for x
    x = 1,986,437.58/1,315.90
  6. Step 6: Final answer
    x = 1,509.57

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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.