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Finding the Fourth Proportional to 1,210.51, 1,672.13 and 975.38

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Solution

The fourth proportional to 1,210.51, 1,672.13 and 975.38 is: 1,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.51 : 1,672.13 = 975.38 : x
  2. Step 2: Convert to fraction form
    1,210.51/1,672.13 = 975.38/x
  3. Step 3: Cross multiply
    1,210.51x = 1,672.13 × 975.38
  4. Step 4: Simplify right side
    1,210.51x = 1,630,950.75
  5. Step 5: Solve for x
    x = 1,630,950.75/1,210.51
  6. Step 6: Final answer
    x = 1,347.32

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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.