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Finding the Fourth Proportional to 1,345.69, 1,854.93 and 973.36

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Solution

The fourth proportional to 1,345.69, 1,854.93 and 973.36 is: 1,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.69 : 1,854.93 = 973.36 : x
  2. Step 2: Convert to fraction form
    1,345.69/1,854.93 = 973.36/x
  3. Step 3: Cross multiply
    1,345.69x = 1,854.93 × 973.36
  4. Step 4: Simplify right side
    1,345.69x = 1,805,514.66
  5. Step 5: Solve for x
    x = 1,805,514.66/1,345.69
  6. Step 6: Final answer
    x = 1,341.70

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Double scale
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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.